75942 has 12 divisors (see below), whose sum is σ = 164580. Its totient is φ = 25308.

The previous prime is 75941. The next prime is 75967. The reversal of 75942 is 24957.

It is a plaindrome in base 15.

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 75942.

It is not an unprimeable number, because it can be changed into a prime (75941) 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 5 ways as a sum of consecutive naturals, for example, 2092 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (13715).

2⁷⁵⁹⁴² is an apocalyptic number.

75942 is an abundant number, since it is smaller than the sum of its proper divisors (88638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75942 is a wasteful number, since it uses less digits than its factorization.

75942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4224 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 75942 is about 275.5757609080. The cubic root of 75942 is about 42.3474577596.

It can be divided in two parts, 759 and 42, that multiplied together give a triangular number (31878 = T₂₅₂).

The spelling of 75942 in words is "seventy-five thousand, nine hundred forty-two".