75885 has 8 divisors (see below), whose sum is σ = 121440. Its totient is φ = 40464.

The previous prime is 75883. The next prime is 75913. The reversal of 75885 is 58857.

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

It is not a de Polignac number, because 75885 - 2¹ = 75883 is a prime.

It is a Curzon number.

75885 is a lucky 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 75885.

It is not an unprimeable number, because it can be changed into a prime (75883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2515 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (15180).

2⁷⁵⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

75885 is a deficient number, since it is larger than the sum of its proper divisors (45555).

75885 is a wasteful number, since it uses less digits than its factorization.

75885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067.

The product of its digits is 11200, while the sum is 33.

The square root of 75885 is about 275.4723216586. The cubic root of 75885 is about 42.3368601577.

The spelling of 75885 in words is "seventy-five thousand, eight hundred eighty-five".