Properties of the Number 72091

Seventy-Two Thousand Ninety-One

Basics

Value: 72090 → 72091 → 72092

Parity: odd

Prime: Yes

Previous Prime: 72089

Next Prime: 72101

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 72091

Divisors: 1, 72091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001100110011011

Octal: 214633

Duodecimal: 35877

Hexadecimal: 1199b

Square: 5197112281

Square Root: 268.4976722431686

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 p² - p - 1, where p is prime. A91568

Numbers k such that A003313(k) = A003313(5·k). A116460

Primes p such that A001175(p) = (p-1)/9. A308794

Primes p such that A001177(p) = (p-1)/9. A308802

Primes of the form p^k - p^k-1 - 1, with p prime and k>1. A122395

The self-COMPOSE transform of A107097 and also the partial sums of A107097: g.f. A(x) = G(G(x)) = G(x)/(1-x) where G(x) is the g.f. of A107097. A107098

a(n) is the smallest number k such that kⁿ has the same digits as some other n-th power without leading zeros. A133208

Centered 18-gonal (or octadecagonal) primes. A264825

Permutation of natural numbers induced by the automorphism car_robl_cdr! acting on the parenthesizations encoded by A014486. A72091

Composite numbers and 1 which yield a prime whenever a 1 is inserted anywhere in them, including at the beginning or end. A216165