Properties of the Number 72772

Seventy-Two Thousand Seven Hundred Seventy-Two

Basics

Value: 72771 → 72772 → 72773

Parity: even

Prime: No

Previous Prime: 72767

Next Prime: 72797

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 23 × 113

Divisors: 1, 2, 4, 7, 14, 23, 28, 46, 92, 113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001000100

Octal: 216104

Duodecimal: 36144

Hexadecimal: 11c44

Square: 5295763984

Square Root: 269.7628588223368

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

T(n,k)=Number of nXk 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique. A265928

a(n) = floor(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104803

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Sort then Add, a(1)=19. A33900

Subsequence of lesser of 2 terms of A095301 that are 2 apart. A248083

Number of nX4 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique. A265924

Number of 3Xn 0..4 arrays with the absolute differences of each element with its with horizontal and antidiagonal neighbors unique. A265931

Sums of 2 successive primes s = prime(m) + prime(m+1) such that all digits of s are primes. A173719

Numbers k such that 4·R_k + 7·10^k + 3 is prime, where R_k = 11...11 is the repunit (A002275) of length k. A259136

Y-projection of the tabular N X N -> N bijection A072764 and X-projection of its transpose A072766. A72772