Properties of the Number 72345

Seventy-Two Thousand Three Hundred Forty-Five

Basics

Value: 72344 → 72345 → 72346

Parity: odd

Prime: No

Previous Prime: 72341

Next Prime: 72353

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 13 × 53

Divisors: 1, 3, 5, 7, 13, 15, 21, 35, 39, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101010011001

Octal: 215231

Duodecimal: 35A49

Hexadecimal: 11a99

Square: 5233799025

Square Root: 268.9702585788994

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

Odd unitary abundant numbers. A129485

Odd squarefree abundant numbers. A112643

Primitive, odd, squarefree abundant numbers. A249263

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 or 4. A251682

Number of set partitions of [n] such that at least one pair of consecutive blocks (b,b+1) exists having no pair of consecutive numbers (i,i+1) with i member of b and i+1 member of b+1. A271271

Odd numbers k such that A360522(k) > 2·k. A360526

Number of (w,x,y,z) with all terms in {1,...,n} and w < harmonic mean of {x,y,z}. A212106

Odd non-coreful abundant numbers: the odd terms of A308127. A339938

Odd modified exponential abundant numbers: odd numbers k such that A241405(k) > 2·k. A379031

Odd numbers k such that gcd(A276086(σ(k)-k), A276086(k)) is equal to A276086(k), where A276086 is the primorial base exp-function, and σ is the sum of divisors function. A388267