72795632 has 120 divisors (see below), whose sum is σ = 185467296. Its totient is φ = 26947584.

The previous prime is 72795601. The next prime is 72795641. The reversal of 72795632 is 23659727.

It is a self number, because there is not a number n which added to its sum of digits gives 72795632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420698 + ... + 420870.

Almost surely, 2^72795632 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 72795632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92733648).

72795632 is an abundant number, since it is smaller than the sum of its proper divisors (112671664).

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

72795632 is a wasteful number, since it uses less digits than its factorization.

72795632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its digits is 158760, while the sum is 41.

The square root of 72795632 is about 8532.0356304929. The cubic root of 72795632 is about 417.5435445277.

The spelling of 72795632 in words is "seventy-two million, seven hundred ninety-five thousand, six hundred thirty-two".