Properties of the Number 72864

Seventy-Two Thousand Eight Hundred Sixty-Four

Basics

Value: 72863 → 72864 → 72865

Parity: even

Prime: No

Previous Prime: 72859

Next Prime: 72869

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 11 × 23

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110010100000

Octal: 216240

Duodecimal: 36200

Hexadecimal: 11ca0

Square: 5309162496

Square Root: 269.9333251008478

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

Number of multigraphs with 4 nodes and n edges. A3082

a(1) = 1, a(2) = 8, a(n+2) = 8·a(n+1) + (n + 1)*(n + 2)*a(n). A142986

Number of (w,x,y,z) with all terms in {0,...,n} and max{w,x,y,z}>2·min{w,x,y,z}. A212743

Number of conjugacy classes in the group GL(3,Z_n). A86768

a(n) = 225·n² - 2·n. A158226

Number of nonequivalent minimal total dominating sets in the n-cycle graph up to rotation. A302918

Total number of tilings of Ferrers-Young diagrams using dominoes and monominoes summed over all partitions of n. A304677

Expansion of e.g.f.: tan(tanh(x) * log(x+1)). A12652

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 1, -1), (0, 1, 1), (1, -1, 0)}. A148841

Numbers k such that 301·2^k+1 is prime. A322915