72634860 has 96 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 18740160.

The previous prime is 72634843. The next prime is 72634873. The reversal of 72634860 is 6843627.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14571 + ... + 18909.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 2^72634860 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 72634860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

72634860 is an abundant number, since it is smaller than the sum of its proper divisors (160683540).

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

72634860 is a wasteful number, since it uses less digits than its factorization.

72634860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72634860 is about 8522.6087555396. The cubic root of 72634860 is about 417.2359308754.

The spelling of 72634860 in words is "seventy-two million, six hundred thirty-four thousand, eight hundred sixty".