Properties of the Number 72972

Seventy-Two Thousand Nine Hundred Seventy-Two

Basics

Value: 72971 → 72972 → 72973

Parity: even

Prime: No

Previous Prime: 72959

Next Prime: 72973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 2027

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 2027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110100001100

Octal: 216414

Duodecimal: 36290

Hexadecimal: 11d0c

Square: 5324912784

Square Root: 270.1333004277703

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 maximal Golomb rulers of length n. A325683

T(n,k)=Number of length n+5 0..k arrays with no disjoint triples in any consecutive six terms having the same sum. A247995

Numbers t which satisfy the equation: t mod k = floor((t - k)/k) mod k (1 <= k <= t) only for k = 1 and t. A375007

Number of length n+5 0..6 arrays with no disjoint triples in any consecutive six terms having the same sum. A247993

Number of length 1+5 0..n arrays with no disjoint triples in any consecutive six terms having the same sum. A247996

Numerator of b(n) = (50·n-6)/(binomial(3n,n)*2ⁿ). A72972