Properties of the Number 72225

Seventy-Two Thousand Two Hundred Twenty-Five

Basics

Value: 72224 → 72225 → 72226

Parity: odd

Prime: No

Previous Prime: 72223

Next Prime: 72227

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ² × 107

Divisors: 1, 3, 5, 9, 15, 25, 27, 45, 75, 107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101000100001

Octal: 215041

Duodecimal: 35969

Hexadecimal: 11a21

Square: 5216450625

Square Root: 268.74709300753375

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 (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185845

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces. A187140

Numbers k such that k-4, k-2, k+2 and k+4 are prime. A173037

Irregular triangle read by rows: T(n,k) is the number of non-isomorphic formulas in conjunctive normal form (CNF) with n variables and k distinct nonempty clauses up to permutations of the variables and clauses, 0 <= k < 3ⁿ. A380610

Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace. A185837

Odd numbers whose square's binary reversal is also a square. A229766

Number of (n+1) X 7 0..2 arrays with every 2 X 2 subblock trace equal to some horizontal or vertical neighbor 2 X 2 subblock trace. A185842

Numbers k such that (k-p)*(k+p) contains k as a substring, where p > 0 and p = A007954(k) is the product of digits of k. A334534

Number of (n+1)X7 0..2 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces. A187137

Numbers k such that prime(k) + prime(k+1) + prime(k+2) is prime. A72225