75064 has 16 divisors (see below), whose sum is σ = 153720. Its totient is φ = 34080.

The previous prime is 75041. The next prime is 75079. The reversal of 75064 is 46057.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

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 in 3 ways as a sum of consecutive naturals, for example, 339 + ... + 514.

2⁷⁵⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

75064 is an abundant number, since it is smaller than the sum of its proper divisors (78656).

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 (76860).

75064 is a wasteful number, since it uses less digits than its factorization.

75064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 75064 is about 273.9781013147. The cubic root of 75064 is about 42.1836253414.

Adding to 75064 its reverse (46057), we get a palindrome (121121).

The spelling of 75064 in words is "seventy-five thousand, sixty-four".