Properties of the Number 72169

Seventy-Two Thousand One Hundred Sixty-Nine

Basics

Value: 72168 → 72169 → 72170

Parity: odd

Prime: Yes

Previous Prime: 72167

Next Prime: 72173

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 72169

Divisors: 1, 72169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100111101001

Octal: 214751

Duodecimal: 35921

Hexadecimal: 119e9

Square: 5208364561

Square Root: 268.6428856307198

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

Array read by antidiagonals: T(m,n) = number of connected dominating sets in the grid graph P_m X P_n. A291872

Primes such that swapping some pair of digits gives a square. A171585

Prime numbers p such that p - primepi(p) is a square, where primepi is the prime counting function. A245061

Commuting permutations: number of ordered triples of permutations f, g, h in Symm(n) which all commute. A72169

a(n) = n for n <= 3; for n > 3, a(n) is the least novel multiple of k, the product of all distinct prime factors of a(n-2) that do not divide a(n-1). A362855

Number of (n+2)X6 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals. A202431