73564304 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 30074880.

The previous prime is 73564301. The next prime is 73564313. The reversal of 73564304 is 40346537.

It is not an unprimeable number, because it can be changed into a prime (73564301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68282 + ... + 69350.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 2^73564304 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 73564304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

73564304 is an abundant number, since it is smaller than the sum of its proper divisors (98388976).

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

73564304 is a wasteful number, since it uses less digits than its factorization.

73564304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 73564304 is about 8576.9635652718. The cubic root of 73564304 is about 419.0080597216.

The spelling of 73564304 in words is "seventy-three million, five hundred sixty-four thousand, three hundred four".