73209984 has 64 divisors (see below), whose sum is σ = 196892640. Its totient is φ = 24098816.

The previous prime is 73209953. The next prime is 73210043. The reversal of 73209984 is 48990237.

It is a tau number, because it is divible by the number of its divisors (64).

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, 30724 + ... + 33020.

Almost surely, 2^73209984 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 73209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98446320).

73209984 is an abundant number, since it is smaller than the sum of its proper divisors (123682656).

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

73209984 is a wasteful number, since it uses less digits than its factorization.

73209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 73209984 is about 8556.2833052675. The cubic root of 73209984 is about 418.3342640396.

The spelling of 73209984 in words is "seventy-three million, two hundred nine thousand, nine hundred eighty-four".