Properties of the Number 72707

Seventy-Two Thousand Seven Hundred Seven

Basics

Value: 72706 → 72707 → 72708

Parity: odd

Prime: Yes

Previous Prime: 72701

Next Prime: 72719

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 72707

Divisors: 1, 72707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110000000011

Octal: 216003

Duodecimal: 360AB

Hexadecimal: 11c03

Square: 5286307849

Square Root: 269.6423557232802

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

Primes having only {0, 2, 7} as digits. A261267

Primes p of Erdos-Selfridge class 5+ with largest prime factor of p+1 not of class 4+. A129473

Primes where every other digit is 7 starting with the rightmost digit, and no other digit is 7. A348560

Number of compositions (ordered partitions) of n into distinct parts where no part is a multiple of 5. A332311

Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252516

Number of non-unimodal compositions of n into distinct terms. A72707

a(n) = n!*(4·n³ - 30·n² + 40·n + 3)/24. A34863