75975 has 12 divisors (see below), whose sum is σ = 125736. Its totient is φ = 40480.

The previous prime is 75967. The next prime is 75979. The reversal of 75975 is 57957.

75975 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 75975 - 2³ = 75967 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75975.

It is not an unprimeable number, because it can be changed into a prime (75979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (10478).

2⁷⁵⁹⁷⁵ is an apocalyptic number.

75975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75975 is a deficient number, since it is larger than the sum of its proper divisors (49761).

75975 is a wasteful number, since it uses less digits than its factorization.

75975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1021 counting only the distinct ones).

The product of its digits is 11025, while the sum is 33.

The square root of 75975 is about 275.6356290468. The cubic root of 75975 is about 42.3535907898.

The spelling of 75975 in words is "seventy-five thousand, nine hundred seventy-five".