272
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 558
- Proper Divisor Sum (Aliquot Sum)
- 286
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 128
- Möbius Function
- 0
- Radical
- 34
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 16
- 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
- zweihundertzweiundsiebzig· ordinal: zweihundertzweiundsiebzigste
- English
- two hundred seventy-two· ordinal: two hundred seventy-second
- Spanish
- doscientos setenta y dos· ordinal: 272º
- French
- deux cent soixante-douze· ordinal: deux cent soixante-douzième
- Italian
- duecentosettantadue· ordinal: 272º
- Latin
- ducenti septuaginta duo· ordinal: 272.
- Portuguese
- duzentos e setenta e dois· ordinal: 272º
Appears in sequences
- Numbers k such that k^4 + 1 is prime.at n=39A000068
- a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).at n=12A000070
- a(n) = floor(n^(3/2)).at n=42A000093
- Euler or up/down numbers: e.g.f. sec(x) + tan(x). Also for n >= 2, half the number of alternating permutations on n letters (A001250).at n=7A000111
- Generalized tangent numbers d_(n,2).at n=4A000176
- Tangent (or "Zag") numbers: e.g.f. tan(x), also (up to signs) e.g.f. tanh(x).at n=3A000182
- Number of symmetric reflexive relations on n nodes: (1/2)*A000666.at n=4A000250
- Generalized tangent numbers d(5,n).at n=1A000320
- Number of permutations of length n with exactly two valleys.at n=1A000487
- Number of permutations of length n with exactly three valleys.at n=0A000517
- Generalized tangent numbers d_(n,4).at n=0A000518
- Number of partitions of n into prime parts.at n=39A000607
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=20A000695
- Numerators of expansion of e.g.f. sinh(x) / sin(x) (even powers only).at n=4A000965
- n! never ends in this many 0's.at n=52A000966
- Dimensions (sorted, with duplicates removed) of real simple Lie algebras.at n=56A001066
- Maximal kissing number of an n-dimensional lattice.at n=9A001116
- Number of graphical basis partitions of 2n.at n=14A001130
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=37A001463
- a(n) = (3*n+1)*(3*n+2).at n=5A001504