Properties of the Number 72960

Seventy-Two Thousand Nine Hundred Sixty

Basics

Value: 72959 → 72960 → 72961

Parity: even

Prime: No

Previous Prime: 72959

Next Prime: 72973

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁸ × 3 × 5 × 19

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100000000

Octal: 216400

Duodecimal: 36280

Hexadecimal: 11d00

Square: 5323161600

Square Root: 270.11108825814614

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 of f-vectors of the simplicial complexes dual to the permutohedra of type B_n. A145901

Number of strongly triple-free subsets of {1, 2, ..., n}. A50295

a(n) = 81·n² + 2·n. A177099

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 157", based on the 5-celled von Neumann neighborhood. A279471

Expansion of (1+2·x) / (1-2·x)⁴. A14483

Sums of the squares of the elements in the subsets of the integers 1 to n. A87076

Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the colored Motzkin paths of A129400. A201641

Number of rooted planar 4-constellations with n quadrangles: rooted planar maps with bicolored faces having n black quadrangular faces and an arbitrary number of white faces of degrees multiple to 4. A90374

a(n) = binomial(n+2,3)*4³. A141478

Number of nonoverlapping placements of one 1 X 1 square and one 2 X 2 square on an n X n board. A173963