75204 has 18 divisors (see below), whose sum is σ = 190190. Its totient is φ = 25056.

The previous prime is 75193. The next prime is 75209. The reversal of 75204 is 40257.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 2304 = 270^2 + 48^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75204.

It is not an unprimeable number, because it can be changed into a prime (75209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1009 + ... + 1080.

2⁷⁵²⁰⁴ is an apocalyptic number.

It is an amenable number.

75204 is an abundant number, since it is smaller than the sum of its proper divisors (114986).

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

75204 is a wasteful number, since it uses less digits than its factorization.

75204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75204 is about 274.2334771686. The cubic root of 75204 is about 42.2098342646.

The spelling of 75204 in words is "seventy-five thousand, two hundred four".