Properties of the Number 72240

Seventy-Two Thousand Two Hundred Forty

Basics

Value: 72239 → 72240 → 72241

Parity: even

Prime: No

Previous Prime: 72229

Next Prime: 72251

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 7 × 43

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001101000110000

Octal: 215060

Duodecimal: 35980

Hexadecimal: 11a30

Square: 5218617600

Square Root: 268.77499883731747

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

Numbers with prime factorization p·q*r·s*t⁴ (where p, q, r, s, t are distinct primes). A190110

A Galton triangle: T(n,k) = 2·k*T(n-1,k) + (2·k-1)*T(n-1,k-1). A187075

Expansion of ∏_{i>=1, j>=1, k>=1} (1 - x^i·j*k)/(1 + x^i·j*k). A321241

Triangle T(n,k), 0<=k<=n, given by (0,2,0,4,0,6,0,8,0,10,0,...) δ (1, 2, 3, 4, 5, 6, 7, 8, 9,...) where δ is the operator defined in A084938. A211402

a(n) = 24·p(n) = 24·A000041(n). A183008

Expansion of e.g.f. 1/(1 - ∑_{p prime} x^p / (p-1)!). A353165

n times the n-th n-gonal number. A117665

The smallest number k which, when written in base n, has a factorization k = f₁*f₂*...*f_r where f_i >= 1 and the digits of {k, f₁, f₂, ..., f_r} together contain the digits 0,1,...,(n-1) exactly once. Set a(n) = -1 if no such k exists. A372294

The smallest number k which, when written in base n, has a factorization k = f1·f2*...*fr where the digits of {k, f1, f2, ..., fr} together contain the digits 0,1,...,(n-1) exactly once. Set a(n) = -1 if no such k exists. A372249

Smallest factorial containing exactly n 6's. A72240