72639952 has 60 divisors (see below), whose sum is σ = 178622496. Its totient is φ = 28297920.

The previous prime is 72639923. The next prime is 72639961. The reversal of 72639952 is 25993627.

It is a junction number, because it is equal to n+sod(n) for n = 72639899 and 72639908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4413 + ... + 12835.

Almost surely, 2^72639952 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 72639952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89311248).

72639952 is an abundant number, since it is smaller than the sum of its proper divisors (105982544).

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

72639952 is a wasteful number, since it uses less digits than its factorization.

72639952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8443 counting only the distinct ones).

The product of its digits is 204120, while the sum is 43.

The square root of 72639952 is about 8522.9074851250. The cubic root of 72639952 is about 417.2456806279.

The spelling of 72639952 in words is "seventy-two million, six hundred thirty-nine thousand, nine hundred fifty-two".