Properties of the Number 72192

Seventy-Two Thousand One Hundred Ninety-Two

Basics

Value: 72191 → 72192 → 72193

Parity: even

Prime: No

Previous Prime: 72173

Next Prime: 72211

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁹ × 3 × 47

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101000000000

Octal: 215000

Duodecimal: 35940

Hexadecimal: 11a00

Square: 5211684864

Square Root: 268.68568997994663

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

Sum of the parts in the partitions of 4n into 4 parts with smallest part = 1. A239056

The greedy sequence of real numbers at least 1 that do not contain any 3-term geometric progressions with integer ratio. A235054

Numbers n such that A067824(n) = n. A122408

Number of canonical 3-polytopes of size n. A319959

Number of permutations of length n whose powers all avoid the pattern 321. A326760

Fixed points of A300956. A300958

a(n) = 288·n² - 96·n (n>=1). A305073

θ series of laminated lattice LAMBDA₁₀. A6909

Number of permutations of length n containing exactly once 132 and 213, likewise for pattern pair (231,312). A89264

Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256740