Properties of the Number 72590

Seventy-Two Thousand Five Hundred Ninety

Basics

Value: 72589 → 72590 → 72591

Parity: even

Prime: No

Previous Prime: 72577

Next Prime: 72613

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 7 × 17 × 61

Divisors: 1, 2, 5, 7, 10, 14, 17, 34, 35, 61

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101110001110

Octal: 215616

Duodecimal: 36012

Hexadecimal: 11b8e

Square: 5269308100

Square Root: 269.4253143266237

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

Coefficient of x⁴ in expansion of (1+x+x²)ⁿ. A5712

Convolution of Pell(n) and 2ⁿ. A94706

Number of partitions of n such that (greatest part) - (least part) > number of parts. A237833

Partial sums of A051865. A50441

Triangle read by rows: matrix product of the binomial coefficients with the Stirling numbers of the second kind. A126350

Triangle read by rows: A008277·A007318. A137597

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

a(n) = Trinomial(2·n+1, 4) = (1/6)*n*(2·n + 1)*(2·n² + 9·n + 1), n >= 0. A302709

Number of pairs of intersecting diagonals in the exterior of a regular n-gon. A211381

Table T(n,k) giving number of spanning trees in complete bipartite graph K(n,k), read by antidiagonals. A72590