75996 has 18 divisors (see below), whose sum is σ = 192192. Its totient is φ = 25320.

The previous prime is 75991. The next prime is 75997. The reversal of 75996 is 69957.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2111 = 75996 / (7 + 5 + 9 + 9 + 6).

It is a d-powerful number, because it can be written as 7⁵ + 5³ + 9 + 9⁵ + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 75996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75991) 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, 1020 + ... + 1091.

2⁷⁵⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

75996 is an abundant number, since it is smaller than the sum of its proper divisors (116196).

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

75996 is a wasteful number, since it uses less digits than its factorization.

75996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2116 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 75996 is about 275.6737201838. The cubic root of 75996 is about 42.3574927026.

The spelling of 75996 in words is "seventy-five thousand, nine hundred ninety-six".