75664 has 10 divisors (see below), whose sum is σ = 146630. Its totient is φ = 37824.

The previous prime is 75659. The next prime is 75679. The reversal of 75664 is 46657.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 32400 = 208^2 + 180^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2349 + ... + 2380.

It is an arithmetic number, because the mean of its divisors is an integer number (14663).

2⁷⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

75664 is a deficient number, since it is larger than the sum of its proper divisors (70966).

75664 is a wasteful number, since it uses less digits than its factorization.

75664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4731 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 75664 is about 275.0708999513. The cubic root of 75664 is about 42.2957209613.

It can be divided in two parts, 756 and 64, that multiplied together give a palindrome (48384).

The spelling of 75664 in words is "seventy-five thousand, six hundred sixty-four".