75887 has 8 divisors (see below), whose sum is σ = 89376. Its totient is φ = 63072.

The previous prime is 75883. The next prime is 75913. The reversal of 75887 is 78857.

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

It is a cyclic number.

It is not a de Polignac number, because 75887 - 2² = 75883 is a prime.

It is a plaindrome in base 12.

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 75887.

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, 113 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2⁷⁵⁸⁸⁷ is an apocalyptic number.

75887 is a deficient number, since it is larger than the sum of its proper divisors (13489).

75887 is a wasteful number, since it uses less digits than its factorization.

75887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its digits is 15680, while the sum is 35.

The square root of 75887 is about 275.4759517635. The cubic root of 75887 is about 42.3372320932.

It can be divided in two parts, 7 and 5887, that multiplied together give a square (41209 = 203²).

The spelling of 75887 in words is "seventy-five thousand, eight hundred eighty-seven".