73086664 has 32 divisors (see below), whose sum is σ = 157046400. Its totient is φ = 31236480.

The previous prime is 73086653. The next prime is 73086667. The reversal of 73086664 is 46668037.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73086667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21309 + ... + 24499.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2^73086664 is an apocalyptic number.

It is an amenable number.

73086664 is an abundant number, since it is smaller than the sum of its proper divisors (83959736).

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

73086664 is a wasteful number, since it uses less digits than its factorization.

73086664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 73086664 is about 8549.0738679696. The cubic root of 73086664 is about 418.0992415629.

The spelling of 73086664 in words is "seventy-three million, eighty-six thousand, six hundred sixty-four".