Properties of the Number 72567

Seventy-Two Thousand Five Hundred Sixty-Seven

Basics

Value: 72566 → 72567 → 72568

Parity: odd

Prime: No

Previous Prime: 72559

Next Prime: 72577

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 733

Divisors: 1, 3, 9, 11, 33, 99, 733, 2199, 6597, 8063

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001101101110111

Octal: 215567

Duodecimal: 35BB3

Hexadecimal: 11b77

Square: 5265969489

Square Root: 269.3826275022203

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 of nX6 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A298552

A variant of Zarankiewicz problem: maximal number of 1s in n X n 01-matrix with no four 1s forming a rectangle. A72567

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A298554