73638832 has 40 divisors (see below), whose sum is σ = 159030000. Its totient is φ = 32827392.

The previous prime is 73638793. The next prime is 73638839. The reversal of 73638832 is 23883637.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73638839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 12292.

It is an arithmetic number, because the mean of its divisors is an integer number (3975750).

Almost surely, 2^73638832 is an apocalyptic number.

It is an amenable number.

73638832 is an abundant number, since it is smaller than the sum of its proper divisors (85391168).

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

73638832 is a wasteful number, since it uses less digits than its factorization.

73638832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14293 (or 14287 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 73638832 is about 8581.3071265396. The cubic root of 73638832 is about 419.1495109929.

The spelling of 73638832 in words is "seventy-three million, six hundred thirty-eight thousand, eight hundred thirty-two".