72759664 has 40 divisors (see below), whose sum is σ = 150526080. Its totient is φ = 33969600.

The previous prime is 72759653. The next prime is 72759671. The reversal of 72759664 is 46695727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19899 + ... + 23269.

It is an arithmetic number, because the mean of its divisors is an integer number (3763152).

Almost surely, 2^72759664 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 72759664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75263040).

72759664 is an abundant number, since it is smaller than the sum of its proper divisors (77766416).

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

72759664 is a wasteful number, since it uses less digits than its factorization.

72759664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3463 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The square root of 72759664 is about 8529.9275495165. The cubic root of 72759664 is about 417.4747643919.

The spelling of 72759664 in words is "seventy-two million, seven hundred fifty-nine thousand, six hundred sixty-four".