Properties of the Number 72066

Seventy-Two Thousand Sixty-Six

Basics

Value: 72065 → 72066 → 72067

Parity: even

Prime: No

Previous Prime: 72053

Next Prime: 72073

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 12011

Divisors: 1, 2, 3, 6, 12011, 24022, 36033, 72066

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110000010

Octal: 214602

Duodecimal: 35856

Hexadecimal: 11982

Square: 5193508356

Square Root: 268.451112867874

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 T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows. A157209

Numbers n such that if n = a U b (where U denotes concatenation) then σ*(a) + σ*(b) = abs(σ*(n) - n), where σ*(n) is the sum of the anti-divisors of n. A239686

Exceptional (or extraordinary) numbers: m such that A005179(m) < A037019(m). A72066

Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251314