73528320 has 88 divisors (see below), whose sum is σ = 235224864. Its totient is φ = 19603456.

The previous prime is 73528319. The next prime is 73528333. The reversal of 73528320 is 2382537.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 12967 + ... + 17753.

Almost surely, 2^73528320 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 73528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612432).

73528320 is an abundant number, since it is smaller than the sum of its proper divisors (161696544).

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

73528320 is a wasteful number, since it uses less digits than its factorization.

73528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 73528320 is about 8574.8655966143. The cubic root of 73528320 is about 418.9397292757.

The spelling of 73528320 in words is "seventy-three million, five hundred twenty-eight thousand, three hundred twenty".