73586368 has 42 divisors (see below), whose sum is σ = 149342348. Its totient is φ = 35967360.

The previous prime is 73586351. The next prime is 73586413. The reversal of 73586368 is 86368537.

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 5 ways as a sum of consecutive naturals, for example, 561663 + ... + 561793.

Almost surely, 2^73586368 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 73586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74671174).

73586368 is an abundant number, since it is smaller than the sum of its proper divisors (75755980).

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

73586368 is an equidigital number, since it uses as much as digits as its factorization.

73586368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 200 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 73586368 is about 8578.2497049223. The cubic root of 73586368 is about 419.0499462943.

The spelling of 73586368 in words is "seventy-three million, five hundred eighty-six thousand, three hundred sixty-eight".