75090 has 16 divisors (see below), whose sum is σ = 180288. Its totient is φ = 20016.

The previous prime is 75083. The next prime is 75109. The reversal of 75090 is 9057.

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 7 ways as a sum of consecutive naturals, for example, 1222 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (11268).

2⁷⁵⁰⁹⁰ is an apocalyptic number.

75090 is an abundant number, since it is smaller than the sum of its proper divisors (105198).

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 (90144).

75090 is a wasteful number, since it uses less digits than its factorization.

75090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 75090 is about 274.0255462544. The cubic root of 75090 is about 42.1884951754.

The spelling of 75090 in words is "seventy-five thousand, ninety".