73538304 has 72 divisors (see below), whose sum is σ = 223695360. Its totient is φ = 21009408.

The previous prime is 73538279. The next prime is 73538317. The reversal of 73538304 is 40383537.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 12215.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^73538304 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 73538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111847680).

73538304 is an abundant number, since it is smaller than the sum of its proper divisors (150157056).

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

73538304 is a wasteful number, since it uses less digits than its factorization.

73538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13705 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 73538304 is about 8575.4477434126. The cubic root of 73538304 is about 418.9586902463.

The spelling of 73538304 in words is "seventy-three million, five hundred thirty-eight thousand, three hundred four".