Properties of the Number 72000

Seventy-Two Thousand

Basics

Value: 71999 → 72000 → 72001

Parity: even

Prime: No

Previous Prime: 71999

Next Prime: 72019

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 5 ³

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101000000

Octal: 214500

Duodecimal: 35800

Hexadecimal: 11940

Square: 5184000000

Square Root: 268.32815729997475

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Orthogonal polynomials with all zeros integers from 2·A000217. A129467

a(n) = n³ * ∑_d²∣n 1 / d³. A351601

Paradigm shift sequence for (5,2) production scheme with replacement. A246100

a(n) = 10·a(n-1) - 20·a(n-2), a(0)=1,a(1)=5. A90139

Like A073327, but multiply the numerical values of the letters instead of adding them. A75831

Composite numbers such that ∏_i=1..k (p_i/(p_i-1)) / ∑_i=1..k (p_i/(p_i-1)) is an integer, where p_i are the k prime factors of n (with multiplicity). A227034

a(n) = 9·n³. A244728

Coreful 3-abundant numbers: numbers k such that csigma(k) > 3·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A340109

a(n) = ψ(A276086(n)), where ψ is Dedekind ψ function A001615, and A276086 is the prime product form of primorial base expansion of n. A346470

Powerful numbers k that are not prime powers, such that k has a primorial kernel but is not a product of primorials. A369420