Properties of the Number 72968

Seventy-Two Thousand Nine Hundred Sixty-Eight

Basics

Value: 72967 → 72968 → 72969

Parity: even

Prime: No

Previous Prime: 72959

Next Prime: 72973

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 7 × 1303

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1303, 2606

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100001000

Octal: 216410

Duodecimal: 36288

Hexadecimal: 11d08

Square: 5324329024

Square Root: 270.1258965741715

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

Expansion of e.g.f. 1/(1 - x + log(1 - 2·x)). A367845

Array T(n,m) read by antidiagonals: In an n X m grid draw straight walls between cells, starting at a border, such that the resulting figure is connected and has only one-cell wide paths; T(n,m) is the number of solutions up to symmetries of the rectangle. A375861

a(n) = 54·n² - 26·n + 4 (n>=1). A304381

Number of positions that are exactly n moves from the starting position in the Rashkey Type 2 puzzle. A79864

Expansion of e.g.f. ( ∏_k>0 1/(1-x^k)^1/k! )^x. A356575

Least k>0 such that the last digit of (n+k)^n+k is the same as the last digit of nⁿ. A72968