72756 has 36 divisors (see below), whose sum is σ = 192192. Its totient is φ = 23184.

The previous prime is 72739. The next prime is 72763. The reversal of 72756 is 65727.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

72756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525 + ... + 1571.

2⁷²⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096).

72756 is an abundant number, since it is smaller than the sum of its proper divisors (119436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72756 is a wasteful number, since it uses less digits than its factorization.

72756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 72756 is about 269.7332015159. The cubic root of 72756 is about 41.7467756603.

It can be divided in two parts, 72 and 756, that added together give a palindrome (828).

The spelling of 72756 in words is "seventy-two thousand, seven hundred fifty-six".