72156880 has 40 divisors (see below), whose sum is σ = 169801632. Its totient is φ = 28512384.

The previous prime is 72156827. The next prime is 72156883. The reversal of 72156880 is 8865127.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72156883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207 + ... + 12073.

Almost surely, 2^72156880 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 72156880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

72156880 is an abundant number, since it is smaller than the sum of its proper divisors (97644752).

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

72156880 is a wasteful number, since it uses less digits than its factorization.

72156880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 72156880 is about 8494.5205868254. The cubic root of 72156880 is about 416.3186968595.

The spelling of 72156880 in words is "seventy-two million, one hundred fifty-six thousand, eight hundred eighty".