Properties of the Number 72120

Seventy-Two Thousand One Hundred Twenty

Basics

Value: 72119 → 72120 → 72121

Parity: even

Prime: No

Previous Prime: 72109

Next Prime: 72139

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 601

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110111000

Octal: 214670

Duodecimal: 358A0

Hexadecimal: 119b8

Square: 5201294400

Square Root: 268.55167100578615

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

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step patterns 010 or 101, where 1=up and 0=down; triangle T(n,k), n >= 0, k = max(0, n-3), read by rows. A295987

Numbers k such that 7·10^k + 5·R_k - 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A103061

Least k such that n! divides C(2k,k). A72120