75304 has 8 divisors (see below), whose sum is σ = 141210. Its totient is φ = 37648.

The previous prime is 75289. The next prime is 75307. The reversal of 75304 is 40357.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 36100 = 198^2 + 190^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (75307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4699 + ... + 4714.

2⁷⁵³⁰⁴ is an apocalyptic number.

It is an amenable number.

75304 is a deficient number, since it is larger than the sum of its proper divisors (65906).

75304 is a wasteful number, since it uses less digits than its factorization.

75304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 75304 is about 274.4157429886. The cubic root of 75304 is about 42.2285350159.

It can be divided in two parts, 7 and 5304, that multiplied together give a triangular number (37128 = T₂₇₂).

The spelling of 75304 in words is "seventy-five thousand, three hundred four".