Properties of the Number 72576

Seventy-Two Thousand Five Hundred Seventy-Six

Basics

Value: 72575 → 72576 → 72577

Parity: even

Prime: No

Previous Prime: 72559

Next Prime: 72577

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ⁴ × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101110000000

Octal: 215600

Duodecimal: 36000

Hexadecimal: 11b80

Square: 5267275776

Square Root: 269.3993318477238

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

Triangle, read by rows, of coefficients of the hyperbinomial transform. A88956

Scaled Chebyshev U-polynomial evaluated at sqrt(6)/2. A30192

Triangle read by rows: T(n,k) is the number of permutations of n elements that have the longest cycle length k. A126074

Square array A(n,k), n>=1, k>=1, read by antidiagonals: A(n,k) is the number of n-colorings of the k X k X k triangular grid. A182797

Numbers k such that k and k² have the same set of digits. A29793

Numbers k such that k² contains exactly 2 copies of each digit of k. A114258

Triangle read by rows: T(n,k) is the number of permutations of [n] for which the shortest cycle length is k (1<=k<=n). A145877

Triangle T(n,k) is the number of permutations on n elements with at least one k-cycle for 1 <= k <= n. A293211

a(n) = (2·n + 1)!/(n + 1). A110468

Number of n-colorings of the 3 X 3 X 3 triangular grid. A182788