75987 has 6 divisors (see below), whose sum is σ = 109772. Its totient is φ = 50652.

The previous prime is 75983. The next prime is 75989. The reversal of 75987 is 78957.

75987 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 75987 - 2² = 75983 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (75983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4213 + ... + 4230.

2⁷⁵⁹⁸⁷ is an apocalyptic number.

75987 is a deficient number, since it is larger than the sum of its proper divisors (33785).

75987 is a wasteful number, since it uses less digits than its factorization.

75987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8449 (or 8446 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 75987 is about 275.6573960553. The cubic root of 75987 is about 42.3558205423.

The spelling of 75987 in words is "seventy-five thousand, nine hundred eighty-seven".