Properties of the Number 72588

Seventy-Two Thousand Five Hundred Eighty-Eight

Basics

Value: 72587 → 72588 → 72589

Parity: even

Prime: No

Previous Prime: 72577

Next Prime: 72613

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 23 × 263

Divisors: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101110001100

Octal: 215614

Duodecimal: 36010

Hexadecimal: 11b8c

Square: 5269017744

Square Root: 269.4216026973338

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

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing odd cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be odd if it has an odd number of entries. For example, the permutation (152)(347)(6)(8) has 3 increasing odd cycles. A186761

Summed lengths of all nonintersecting rook paths on a 3·n board. A181394

Summed lengths of nonintersecting rook paths on an n X k board (square array by antidiagonals). A181399

Numbers N such that N + the sum of the cubes of its digits is again a third power. A362953

a(1) = a(2) = a(3) = 1; for n>2, a(n+1) = a(n) + a(n-1) + a(n-2) iff a(n) is prime, otherwise a(n+1) = a(n) + 1. A113058

Numbers having at least one prime factor with an odd and one with an even exponent. A72588