Properties of the Number 72180

Seventy-Two Thousand One Hundred Eighty

Basics

Value: 72179 → 72180 → 72181

Parity: even

Prime: No

Previous Prime: 72173

Next Prime: 72211

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 401

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100111110100

Octal: 214764

Duodecimal: 35930

Hexadecimal: 119f4

Square: 5209952400

Square Root: 268.66335812685736

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

Triangular array read by rows: T(n,k) is the number of set partitions of {1,2,...,n} that have exactly k distinct block sizes. A208437

Number of (1,0)-steps on the lines y=0 and y=1 in all Schroeder paths of length 2n (a Schroeder path of length 2n is a path from (0,0) to (2n,0), consisting of steps U=(1,1), D=(1,-1) and H=(2,0) and never going below the x-axis). A110190

Icosagonal numbers divisible by 20. A117798

Number of partitions of n-set with 3 block sizes. A133118

Numbers k such that 2^k - k² is prime. A72180

Number of length n+4 0..7 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..7 introduced in 0..7 order. A244182