72588120 has 128 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 17418240.

The previous prime is 72588119. The next prime is 72588137. The reversal of 72588120 is 2188527.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 167424 + ... + 167856.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^72588120 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 72588120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

72588120 is an abundant number, since it is smaller than the sum of its proper divisors (167396520).

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

72588120 is a wasteful number, since it uses less digits than its factorization.

72588120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 72588120 is about 8519.8661961324. The cubic root of 72588120 is about 417.1464155841.

The spelling of 72588120 in words is "seventy-two million, five hundred eighty-eight thousand, one hundred twenty".