75984 has 20 divisors (see below), whose sum is σ = 196416. Its totient is φ = 25312.

The previous prime is 75983. The next prime is 75989. The reversal of 75984 is 48957.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 744 + ... + 839.

2⁷⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

75984 is an abundant number, since it is smaller than the sum of its proper divisors (120432).

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 (98208).

75984 is a wasteful number, since it uses less digits than its factorization.

75984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1588 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 75984 is about 275.6519544643. The cubic root of 75984 is about 42.3552631261.

The spelling of 75984 in words is "seventy-five thousand, nine hundred eighty-four".