72133704 has 96 divisors (see below), whose sum is σ = 208802880. Its totient is φ = 22442112.

The previous prime is 72133687. The next prime is 72133751. The reversal of 72133704 is 40733127.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70702 + ... + 71714.

It is an arithmetic number, because the mean of its divisors is an integer number (2175030).

Almost surely, 2^72133704 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 72133704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104401440).

72133704 is an abundant number, since it is smaller than the sum of its proper divisors (136669176).

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

72133704 is a wasteful number, since it uses less digits than its factorization.

72133704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72133704 is about 8493.1563037542. The cubic root of 72133704 is about 416.2741197505.

The spelling of 72133704 in words is "seventy-two million, one hundred thirty-three thousand, seven hundred four".