75285 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 34272.

The previous prime is 75277. The next prime is 75289. The reversal of 75285 is 58257.

It is a happy number.

It is not a de Polignac number, because 75285 - 2³ = 75277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75289) 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 23 ways as a sum of consecutive naturals, for example, 196 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁷⁵²⁸⁵ is an apocalyptic number.

It is an amenable number.

75285 is a deficient number, since it is larger than the sum of its proper divisors (74475).

75285 is a wasteful number, since it uses less digits than its factorization.

75285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 75285 is about 274.3811217996. The cubic root of 75285 is about 42.2249831477.

The spelling of 75285 in words is "seventy-five thousand, two hundred eighty-five".