Properties of the Number 72237

Seventy-Two Thousand Two Hundred Thirty-Seven

Basics

Value: 72236 → 72237 → 72238

Parity: odd

Prime: No

Previous Prime: 72229

Next Prime: 72251

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 ² × 199

Divisors: 1, 3, 11, 33, 121, 199, 363, 597, 2189, 6567

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101000101101

Octal: 215055

Duodecimal: 35979

Hexadecimal: 11a2d

Square: 5218184169

Square Root: 268.76941790315357

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 (3+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252387

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, 1), (1, 0, -1), (1, 1, -1)}. A148808

Smallest factorial containing exactly n 8's. A72237