73088832 has 56 divisors (see below), whose sum is σ = 194738752. Its totient is φ = 24192000.

The previous prime is 73088819. The next prime is 73088833. The reversal of 73088832 is 23888037.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73088833) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27732 + ... + 30252.

Almost surely, 2^73088832 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 73088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97369376).

73088832 is an abundant number, since it is smaller than the sum of its proper divisors (121649920).

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

73088832 is a wasteful number, since it uses less digits than its factorization.

73088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 73088832 is about 8549.2006643896. The cubic root of 73088832 is about 418.1033756057.

It can be divided in two parts, 73088 and 832, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 73088832 in words is "seventy-three million, eighty-eight thousand, eight hundred thirty-two".