75882 has 8 divisors (see below), whose sum is σ = 151776. Its totient is φ = 25292.

The previous prime is 75869. The next prime is 75883. The reversal of 75882 is 28857.

It is a sphenic number, since it is the product of 3 distinct primes.

75882 is an admirable number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (75883) 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 3 ways as a sum of consecutive naturals, for example, 6318 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (18972).

2⁷⁵⁸⁸² is an apocalyptic number.

75882 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (75888).

75882 is a wasteful number, since it uses less digits than its factorization.

75882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652.

The product of its digits is 4480, while the sum is 30.

The square root of 75882 is about 275.4668764117. The cubic root of 75882 is about 42.3363022422.

The spelling of 75882 in words is "seventy-five thousand, eight hundred eighty-two".