73982568 has 64 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 22097600.

The previous prime is 73982549. The next prime is 73982627. The reversal of 73982568 is 86528937.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16771 + ... + 20717.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^73982568 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 73982568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

73982568 is an abundant number, since it is smaller than the sum of its proper divisors (130681752).

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

73982568 is a wasteful number, since it uses less digits than its factorization.

73982568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4034 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 73982568 is about 8601.3119929462. The cubic root of 73982568 is about 419.8006763950.

The spelling of 73982568 in words is "seventy-three million, nine hundred eighty-two thousand, five hundred sixty-eight".