Properties of the Number 72689

Seventy-Two Thousand Six Hundred Eighty-Nine

Basics

Value: 72688 → 72689 → 72690

Parity: odd

Prime: Yes

Previous Prime: 72679

Next Prime: 72701

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 72689

Divisors: 1, 72689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101111110001

Octal: 215761

Duodecimal: 36095

Hexadecimal: 11bf1

Square: 5283690721

Square Root: 269.60897611170145

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

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns of odd length (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121745

a(i) is a square mod a(j), i <> j; a(n) prime; a(1) = 2. A34902

Numerator of (1+1/n)^k - (1+k/n), 2<=k<=n, triangle read by rows. A99613

Difference between (least square >= n) and (largest square <= n). A72689

E.g.f. satisfies: A(x) = 1 + ∑_n>=1 2·cosh(n·x) * (x·A(x))^n². A199576