Properties of the Number 72089

Seventy-Two Thousand Eighty-Nine

Basics

Value: 72088 → 72089 → 72090

Parity: odd

Prime: Yes

Previous Prime: 72077

Next Prime: 72091

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 72089

Divisors: 1, 72089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100110011001

Octal: 214631

Duodecimal: 35875

Hexadecimal: 11999

Square: 5196823921

Square Root: 268.4939477902621

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 of the form k+(k+3)² where k is a nonnegative integer. A248697

Primes of the form prime(n)² - prime(n+1) - 1. A97938

Smallest prime for which 2ⁿ exactly divides the class number h(-4p). A102264

a(1)=1. a(n) = a(n-1)th integer from among those positive integers which do not occur earlier in the sequence and which are coprime to n. A121219

Compressed discriminator of the factorial numbers. A272649

a(n) is the cyclic length of the iterative sequence f(k) = prime(f(k-1) mod 2ⁿ) with f(0) = 1. A326613

Permutation of natural numbers induced by the automorphism gt-df->bf (switch from the Depth First to the Breadth First coding for the general trees/parenthesizations) acting on the parenthesizations encoded by A014486. A72089