75564 has 18 divisors (see below), whose sum is σ = 191100. Its totient is φ = 25176.

The previous prime is 75557. The next prime is 75571. The reversal of 75564 is 46557.

It is an interprime number because it is at equal distance from previous prime (75557) and next prime (75571).

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1014 + ... + 1085.

2⁷⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

75564 is an abundant number, since it is smaller than the sum of its proper divisors (115536).

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

75564 is a wasteful number, since it uses less digits than its factorization.

75564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2104 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 75564 is about 274.8890685349. The cubic root of 75564 is about 42.2770796137.

The spelling of 75564 in words is "seventy-five thousand, five hundred sixty-four".