Properties of the Number 72105

Seventy-Two Thousand One Hundred Five

Basics

Value: 72104 → 72105 → 72106

Parity: odd

Prime: No

Previous Prime: 72103

Next Prime: 72109

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 11 × 19 × 23

Divisors: 1, 3, 5, 11, 15, 19, 23, 33, 55, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110101001

Octal: 214651

Duodecimal: 35889

Hexadecimal: 119a9

Square: 5199131025

Square Root: 268.5237419670745

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 integer partitions of n with reverse-alternating sum < 0. A344608

Number of integer partitions of 2n with reverse-alternating sum < 0. A344743

Numbers other than prime powers divisible by the sum of the squares of their prime divisors. A190882

a(n) = (4·n+7)(!⁴)/7(!⁴), related to A034176(n+1) ((4·n+3)(!⁴) quartic, or 4-factorials). A51619

Numbers with exactly one arithmetic progression of four successive divisors (not necessarily consecutive). A94530

The z² coefficients of the polynomials in the GF1 denominators of A156921. A157706

a(n) = lcm(n, n+1, n+2, n+3, n+4, n+5, n+6, n+7)/840. A188897

Numbers of espalier polycubes of a given volume in dimension 4. A229917

Composite squarefree numbers k = ∏_i p_i such that k² is divisible by ∑_i p_i². A332738

T(n,m) = Number of ways to partition an nXm grid into 3 connected equal-area regions. A167259