72387952 has 80 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 28244736.

The previous prime is 72387949. The next prime is 72387971. The reversal of 72387952 is 25978327.

It is a junction number, because it is equal to n+sod(n) for n = 72387899 and 72387908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120549 + ... + 121147.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^72387952 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 72387952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

72387952 is an abundant number, since it is smaller than the sum of its proper divisors (102600848).

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

72387952 is a wasteful number, since it uses less digits than its factorization.

72387952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 72387952 is about 8508.1109536724. The cubic root of 72387952 is about 416.7626235176.

The spelling of 72387952 in words is "seventy-two million, three hundred eighty-seven thousand, nine hundred fifty-two".