72056088 has 128 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 21783168.

The previous prime is 72056063. The next prime is 72056093. The reversal of 72056088 is 88065027.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187945 + ... + 188327.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^72056088 is an apocalyptic number.

72056088 is a gapful number since it is divisible by the number (78) 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 72056088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

72056088 is an abundant number, since it is smaller than the sum of its proper divisors (147284712).

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

72056088 is a wasteful number, since it uses less digits than its factorization.

72056088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

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

The square root of 72056088 is about 8488.5857479323. The cubic root of 72056088 is about 416.1247622584.

The spelling of 72056088 in words is "seventy-two million, fifty-six thousand, eighty-eight".