72825660 has 108 divisors (see below), whose sum is σ = 228396168. Its totient is φ = 18772992.

The previous prime is 72825631. The next prime is 72825677. The reversal of 72825660 is 6652827.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 750732 + ... + 750828.

Almost surely, 2^72825660 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 72825660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114198084).

72825660 is an abundant number, since it is smaller than the sum of its proper divisors (155570508).

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

72825660 is a wasteful number, since it uses less digits than its factorization.

72825660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72825660 is about 8533.7951697940. The cubic root of 72825660 is about 417.6009484939.

The spelling of 72825660 in words is "seventy-two million, eight hundred twenty-five thousand, six hundred sixty".