Properties of the Number 72618

Seventy-Two Thousand Six Hundred Eighteen

Basics

Value: 72617 → 72618 → 72619

Parity: even

Prime: No

Previous Prime: 72617

Next Prime: 72623

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 ² × 13 × 19

Divisors: 1, 2, 3, 6, 7, 13, 14, 19, 21, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101110101010

Octal: 215652

Duodecimal: 36036

Hexadecimal: 11baa

Square: 5273373924

Square Root: 269.4772717688822

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

a(n) is the smallest number that has exactly n odious divisors (A000069). A355968

Numbers k such that k*σ(k)*σ(σ(k)) is a square. A116004

First occurrence of n consecutive n's in the decimal expansion of the golden ratio. A224844

Triangle read by rows: T(k,s) = binomial(k+s,2s+1)*(2k-1)*(2k+1)/(2s+3), k >= 1, 0 <= s <= k-1. A111126

Triangle read by rows: T(k,s)=(2k-1)(2k+1)binomial(2k-s-1,2k-2s-1)/(2k-2s+1); k>=1, 0<=s<=k-1. A111127

Sum of staircase twin primes according to the rule: top·bottom - next top. A135285

Numbers n for which the prime circle problem has a simple solution: the arrangement of numbers 1 through 2n around a circle is such that the sum of each pair of adjacent numbers is prime and the odd and even numbers are in order in opposite directions. A72618