73984320 has 112 divisors (see below), whose sum is σ = 261030720. Its totient is φ = 19726848.

The previous prime is 73984297. The next prime is 73984367. The reversal of 73984320 is 2348937.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4359 + ... + 12921.

Almost surely, 2^73984320 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 73984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130515360).

73984320 is an abundant number, since it is smaller than the sum of its proper divisors (187046400).

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

73984320 is a wasteful number, since it uses less digits than its factorization.

73984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8589 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 73984320 is about 8601.4138372712. The cubic root of 73984320 is about 419.8039901710.

The spelling of 73984320 in words is "seventy-three million, nine hundred eighty-four thousand, three hundred twenty".