75108 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 22720.

The previous prime is 75083. The next prime is 75109. The reversal of 75108 is 80157.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75109) by changing a digit.

75108 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 153 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁷⁵¹⁰⁸ is an apocalyptic number.

It is an amenable number.

75108 is an abundant number, since it is smaller than the sum of its proper divisors (116412).

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 (95760).

75108 is a wasteful number, since it uses less digits than its factorization.

75108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 75108 is about 274.0583879395. The cubic root of 75108 is about 42.1918659405.

It can be divided in two parts, 75 and 108, that multiplied together give a square (8100 = 90²).

The spelling of 75108 in words is "seventy-five thousand, one hundred eight".