73500384 has 96 divisors (see below), whose sum is σ = 211468320. Its totient is φ = 22249472.

The previous prime is 73500353. The next prime is 73500397. The reversal of 73500384 is 48300537.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46552 + ... + 48104.

It is an arithmetic number, because the mean of its divisors is an integer number (2202795).

Almost surely, 2^73500384 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 73500384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105734160).

73500384 is an abundant number, since it is smaller than the sum of its proper divisors (137967936).

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

73500384 is a wasteful number, since it uses less digits than its factorization.

73500384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

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

The square root of 73500384 is about 8573.2364950467. The cubic root of 73500384 is about 418.8866658992.

The spelling of 73500384 in words is "seventy-three million, five hundred thousand, three hundred eighty-four".