Properties of the Number 72768

Seventy-Two Thousand Seven Hundred Sixty-Eight

Basics

Value: 72767 → 72768 → 72769

Parity: even

Prime: No

Previous Prime: 72767

Next Prime: 72797

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 379

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001000000

Octal: 216100

Duodecimal: 36140

Hexadecimal: 11c40

Square: 5295181824

Square Root: 269.75544480139786

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

Expansion of q^-1/4 * (η(q⁴) / η(q))² in powers of q. A1936

Expansion of q^-1/4 * (η(q) * η(q⁴)² / η(q²)³)² in powers of q. A79006

Expansion of ψ(-x) * ψ(-x³) / (φ(x²) * φ(x⁶)) in powers of·where φ(), ψ() are Ramanujan θ functions. A281731

Composite k such that the primorial inflation of k is a sum of distinct primorial numbers. A351959

7-automorphic numbers ending in 8: final digits of 7n² agree with n. A30992

a(n) = ∑_k=0..n C(2n,k)*A126155(n,k). A126159

G.f. A(x) satisfies: (1 + x)/(1 - x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307659

The RASTxx transformation of the sequence A072643. A72768

Decimal expansion of the x-intercept of the shortest segment from the·axis through (4,1) to the line y=2x. A197146

Decimal expansion of the shortest distance from the·axis through (4,1) to the line y=2x. A197147