Properties of the Number 72109

Seventy-Two Thousand One Hundred Nine

Basics

Value: 72108 → 72109 → 72110

Parity: odd

Prime: Yes

Previous Prime: 72103

Next Prime: 72139

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 72109

Divisors: 1, 72109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110101101

Octal: 214655

Duodecimal: 35891

Hexadecimal: 119ad

Square: 5199707881

Square Root: 268.53118999475646

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

Number of odd singletons in all partitions of n (n>=0). A265257

Primes of the form 9·k⁴ - 204·k³ + 1777·k² - 7038·k + 10729, for k >= 0, listed by increasing k. A117090

Number of pairs (λ,μ) of partitions λ of n and μ of six with μ <= λ (by diagram containment). A303856

(Partial sums of the squarefree integers) that are prime. A194128

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, -1), (1, 0, -1), (1, 1, 1)}. A149659

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

Numbers k such that ∑_i=1..k gcd(k,i) divides ∑_i=1..k lcm(k,i). A72109