73332832 has 48 divisors (see below), whose sum is σ = 159540192. Its totient is φ = 33003520.

The previous prime is 73332829. The next prime is 73332841. The reversal of 73332832 is 23823337.

It is a junction number, because it is equal to n+sod(n) for n = 73332794 and 73332803.

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 7 ways as a sum of consecutive naturals, for example, 9582 + ... + 15442.

It is an arithmetic number, because the mean of its divisors is an integer number (3323754).

Almost surely, 2^73332832 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 73332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79770096).

73332832 is an abundant number, since it is smaller than the sum of its proper divisors (86207360).

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

73332832 is a wasteful number, since it uses less digits than its factorization.

73332832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5903 counting only the distinct ones).

The product of its digits is 18144, while the sum is 31.

The square root of 73332832 is about 8563.4591141664. The cubic root of 73332832 is about 418.5681247156.

The spelling of 73332832 in words is "seventy-three million, three hundred thirty-two thousand, eight hundred thirty-two".