Properties of the Number 72800

Seventy-Two Thousand Eight Hundred

Basics

Value: 72799 → 72800 → 72801

Parity: even

Prime: No

Previous Prime: 72797

Next Prime: 72817

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 7 × 13

Divisors: 1, 2, 4, 5, 7, 8, 10, 13, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110001100000

Octal: 216140

Duodecimal: 36168

Hexadecimal: 11c60

Square: 5299840000

Square Root: 269.81475126464085

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 sequences of integer partitions with total sum n that are rectangular, meaning all lengths are equal. A358905

Numbers that are the sum of four third powers in exactly nine ways. A345154

Irregular triangle read by rows: T(n,k) is the number of n-permutations whose third-longest cycle has length exactly k; n >= 0, 0 <= k <= floor(n/3). A350015

Table read by rows, in which the n-th row lists all the primitive solutions k, in increasing order, such that k*σ(k) = A337875(n). A337876

Triangle of coefficients of a polynomial sequence related to the Morgan-Voyce polynomials A085478. A211957

Numbers k not divisible by 6 such that σ(k) > 3·k. A126104

Triangle read by rows. A generalization of unsigned Lah numbers, called L[3,2]. A290598

Numbers n such that ∑_{i = 1..q} 1/d(i) is an integer where d(i) are the divisors of n for some q and n is primitive (the set {d(1), d(2), ..., d(q)} appears only once). A226853

Noncube integers n such that n² + 1 is the sum of 2 positive cubes. A267119

Decimal expansion of π/(2·sqrt(3)). A93766