75964 has 12 divisors (see below), whose sum is σ = 151984. Its totient is φ = 32544.

The previous prime is 75941. The next prime is 75967. The reversal of 75964 is 46957.

75964 is an admirable number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1329 + ... + 1384.

2⁷⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

75964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75992).

75964 is a wasteful number, since it uses less digits than its factorization.

75964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2722 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 75964 is about 275.6156744454. The cubic root of 75964 is about 42.3515466437.

The spelling of 75964 in words is "seventy-five thousand, nine hundred sixty-four".