372
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 896
- Proper Divisor Sum (Aliquot Sum)
- 524
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 120
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 19
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertzweiundsiebzig· ordinal: dreihundertzweiundsiebzigste
- English
- three hundred seventy-two· ordinal: three hundred seventy-second
- Spanish
- trescientos setenta y dos· ordinal: 372º
- French
- trois cent soixante-douze· ordinal: trois cent soixante-douzième
- Italian
- trecentosettantadue· ordinal: 372º
- Latin
- trecenti septuaginta duo· ordinal: 372.
- Portuguese
- trezentos e setenta e dois· ordinal: 372º
Appears in sequences
- Number of partitions of n into prime parts.at n=42A000607
- Number of collinear point-triples in an n X n grid.at n=5A000938
- Numbers that are the sum of 2 successive primes.at n=41A001043
- Moran numbers: k such that k/(sum of digits of k) is prime.at n=29A001101
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=47A001313
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=21A001522
- Nearest integer to 2*n*log(n).at n=48A001618
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0).at n=13A001631
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=8A002412
- Smallest number of stones in Tchoukaillon (or Mancala, or Kalahari) solitaire that make use of n-th hole.at n=33A002491
- Expansion of 1/((1-x)^4*(1+x)).at n=14A002623
- Length of shortest (or optimal) Golomb ruler with n marks.at n=21A003022
- Negated discriminants of orders of imaginary quadratic fields with 1 class per genus (a finite sequence).at n=57A003171
- a(n) = A000201(A003234(n)) + n.at n=53A003248
- a(n) = A001950(A003234(n)) + 1.at n=38A003249
- Numbers that are the sum of 7 positive 4th powers.at n=32A003341
- Numbers that are the sum of 12 positive 4th powers.at n=47A003346
- Numbers that are the sum of 6 positive 5th powers.at n=11A003351
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=11A003452
- Smallest positive integer that is n times its digit sum, or 0 if no such number exists.at n=30A003634