Properties of the Number 72069

Seventy-Two Thousand Sixty-Nine

Basics

Value: 72068 → 72069 → 72070

Parity: odd

Prime: No

Previous Prime: 72053

Next Prime: 72073

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 24023

Divisors: 1, 3, 24023, 72069

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110000101

Octal: 214605

Duodecimal: 35859

Hexadecimal: 11985

Square: 5193940761

Square Root: 268.4567004192669

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

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 3 neighboring 1s. A296396

Expansion of g.f. z*(2-2·z+z²+z³)/((1+z)*(1-3·z+2·z²-z³)). A137249

Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 3 neighboring 1s. A296392

Number of nX7 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 3 neighboring 1s. A296395

Expansion of (1-x)/(1+x-x²-2·x³). A78041

Number of integer solutions to the equation 2x²+y²+32z²=m for an odd number m=2n-1. A72069