Properties of the Number 72675

Seventy-Two Thousand Six Hundred Seventy-Five

Basics

Value: 72674 → 72675 → 72676

Parity: odd

Prime: No

Previous Prime: 72673

Next Prime: 72679

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 17 × 19

Divisors: 1, 3, 5, 9, 15, 17, 19, 25, 45, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001101111100011

Octal: 215743

Duodecimal: 36083

Hexadecimal: 11be3

Square: 5281655625

Square Root: 269.58301133417143

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 necklaces with 6 black beads and n-6 white beads. A32191

a(n) = n·Fibonacci(n) - ∑_i=0..n-1 Fibonacci(i). A190062

Logarithm of triangular matrix A102220, which equals [2·I - A008459]^-1. A102222

a(n) = number of (s(0), s(1), ..., s(2n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 2, s(2n) = 8. Also a(n) = T(2n,n-3), where T is the array defined in A026009. A26015

Deficient numbers k > 1 such that k·p is abundant for all primes p dividing k. A341358

Number of subsets of 6 integers between 1 and n such that their sum is 1 modulo n. A381290

Odd numbers k that are closer to being perfect than previous terms, and also satisfy the condition that φ(k) = φ(σ(k)). A386419

Number of orbits of Aut(Z⁷) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 161280. A266395

(s(n)+s(n+1))/6, where s()=A006521. A16059

Integers m such that the last digit of Fibonacci(m) is 1. A72675