72075952 has 40 divisors (see below), whose sum is σ = 151334064. Its totient is φ = 33057024.

The previous prime is 72075943. The next prime is 72076007. The reversal of 72075952 is 25957027.

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, 34983 + ... + 36985.

Almost surely, 2^72075952 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 72075952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75667032).

72075952 is an abundant number, since it is smaller than the sum of its proper divisors (79258112).

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

72075952 is a wasteful number, since it uses less digits than its factorization.

72075952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 72075952 is about 8489.7557090885. The cubic root of 72075952 is about 416.1629970236.

The spelling of 72075952 in words is "seventy-two million, seventy-five thousand, nine hundred fifty-two".