Properties of the Number 72732

Seventy-Two Thousand Seven Hundred Thirty-Two

Basics

Value: 72731 → 72732 → 72733

Parity: even

Prime: No

Previous Prime: 72727

Next Prime: 72733

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 × 19 × 29

Divisors: 1, 2, 3, 4, 6, 11, 12, 19, 22, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110000011100

Octal: 216034

Duodecimal: 36110

Hexadecimal: 11c1c

Square: 5289943824

Square Root: 269.68870944108875

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers n such that σ(n) = 10*φ(n) (where σ=A000203, φ=A000010). A171256

Treated as strings, φ(n) is a substring of σ(n). A74452

Coefficients of modular function denoted G₅(τ) by Atkin. A186210

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 611", based on the 5-celled von Neumann neighborhood. A273214

a(n) = 1/(n + 1)² * ∑_{k = 1..n+1} (k⁴)*binomial(n+1, k)². A375177

Simple triangle-stretching N X N -> N bijection: push terms in the middle twice as far down to make space for the terms obtained by bisecting the edges, which are thus contracted by the same factor. Do this for all "triangle-shells" successively contained inside each other in A001477. A72732

T(n,k) = number of ways to arrange k points on an n X n X n triangular grid on an isosceles triangle so that it balances at the midpoint of its central altitude. A194024