75164 has 24 divisors (see below), whose sum is σ = 147840. Its totient is φ = 33264.

The previous prime is 75161. The next prime is 75167. The reversal of 75164 is 46157.

It is an interprime number because it is at equal distance from previous prime (75161) and next prime (75167).

It is a Harshad number since it is a multiple of its sum of digits (23).

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 (75161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁷⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

75164 is a deficient number, since it is larger than the sum of its proper divisors (72676).

75164 is a wasteful number, since it uses less digits than its factorization.

75164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 75164 is about 274.1605369122. The cubic root of 75164 is about 42.2023493223.

The spelling of 75164 in words is "seventy-five thousand, one hundred sixty-four".