72056880 has 360 divisors, whose sum is σ = 303275232. Its totient is φ = 14966784.

The previous prime is 72056869. The next prime is 72056899. The reversal of 72056880 is 8865027.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2484706 + ... + 2484734.

Almost surely, 2^72056880 is an apocalyptic number.

72056880 is a gapful number since it is divisible by the number (70) 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 72056880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151637616).

72056880 is an abundant number, since it is smaller than the sum of its proper divisors (231218352).

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

72056880 is a wasteful number, since it uses less digits than its factorization.

72056880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 72056880 is about 8488.6323986847. The cubic root of 72056880 is about 416.1262868559.

It can be divided in two parts, 720 and 56880, that added together give a square (57600 = 240²).

The spelling of 72056880 in words is "seventy-two million, fifty-six thousand, eight hundred eighty".