72180588 has 24 divisors (see below), whose sum is σ = 170795520. Its totient is φ = 23721040.

The previous prime is 72180587. The next prime is 72180611. The reversal of 72180588 is 88508127.

It is not an unprimeable number, because it can be changed into a prime (72180587) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41508 + ... + 43211.

It is an arithmetic number, because the mean of its divisors is an integer number (7116480).

Almost surely, 2^72180588 is an apocalyptic number.

It is an amenable number.

72180588 is an abundant number, since it is smaller than the sum of its proper divisors (98614932).

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

72180588 is a wasteful number, since it uses less digits than its factorization.

72180588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84797 (or 84795 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 72180588 is about 8495.9159600363. The cubic root of 72180588 is about 416.3642873511.

The spelling of 72180588 in words is "seventy-two million, one hundred eighty thousand, five hundred eighty-eight".