Properties of the Number 72816

Seventy-Two Thousand Eight Hundred Sixteen

Basics

Value: 72815 → 72816 → 72817

Parity: even

Prime: No

Previous Prime: 72797

Next Prime: 72817

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 37 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001110000

Octal: 216160

Duodecimal: 36180

Hexadecimal: 11c70

Square: 5302169856

Square Root: 269.84439960836687

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

Poincaré series for invariant polynomial functions on the space of binary forms of degree 13. A293938

Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,57. A65697

Composite numbers k such that k*φ(k) is in A002378. A256545

Least k such that A000668(n) + k is prime, where A000668(n) is the n-th Mersenne prime. A365160

a(n) = 6·n*(9·n-5). A277984

a(n) = 6·a(n-1)-8·a(n-2)-3 for n > 4; a(0)=633, a(1)=4809, a(2)=46041, a(3)=277767, a(4)=1079823. A177684

Triangular numbers k such that φ(k) is also a triangular number, where φ(k) is the Euler totient function (A000010). A287472

a(n) is the smallest integer such that the mantissa of 1/a(n) contains n. A72816