72156756 has 96 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 18845568.

The previous prime is 72156739. The next prime is 72156767. The reversal of 72156756 is 65765127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45505 + ... + 47063.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^72156756 is an apocalyptic number.

72156756 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72156756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

72156756 is an abundant number, since it is smaller than the sum of its proper divisors (137507244).

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

72156756 is a wasteful number, since it uses less digits than its factorization.

72156756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1619 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 72156756 is about 8494.5132879995. The cubic root of 72156756 is about 416.3184583812.

The spelling of 72156756 in words is "seventy-two million, one hundred fifty-six thousand, seven hundred fifty-six".