72588768 has 96 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 20528640.

The previous prime is 72588743. The next prime is 72588779. The reversal of 72588768 is 86788527.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1505280) is a multiple of the sum of its prime factors (1120).

It is a self number, because there is not a number n which added to its sum of digits gives 72588768.

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 15 ways as a sum of consecutive naturals, for example, 72753 + ... + 73743.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2^72588768 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 72588768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

72588768 is an abundant number, since it is smaller than the sum of its proper divisors (147397152).

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

72588768 is a wasteful number, since it uses less digits than its factorization.

72588768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 72588768 is about 8519.9042248138. The cubic root of 72588768 is about 417.1476568803.

The spelling of 72588768 in words is "seventy-two million, five hundred eighty-eight thousand, seven hundred sixty-eight".