Properties of the Number 72756

Seventy-Two Thousand Seven Hundred Fifty-Six

Basics

Value: 72755 → 72756 → 72757

Parity: even

Prime: No

Previous Prime: 72739

Next Prime: 72763

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 43 × 47

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 43

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110000110100

Octal: 216064

Duodecimal: 36130

Hexadecimal: 11c34

Square: 5293435536

Square Root: 269.73320151586825

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

G.f. A(x) satisfies: [xⁿ] A(x)^2ⁿ = 4ⁿ for n>=0. A134046

Number of arrays of 2n nondecreasing integers in -4..4 with sum zero and equal numbers greater than zero and less than zero. A203287

Number of n X 5 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 5 array. A220029

The n-th term of the n-th Dirichlet self-convolution equals n². A163591

Number of distinct topologies on an n-set that have exactly 11 open sets. A281779

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 4^k) (mod 5ⁿ) ). A376534

a(n) = least nonnegative integer not a(k) and not a(k)+floor(a(k)/2) for k<n. A72756

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