75792 has 20 divisors (see below), whose sum is σ = 195920. Its totient is φ = 25248.

The previous prime is 75787. The next prime is 75793. The reversal of 75792 is 29757.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75793) by changing a digit.

75792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 742 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (9796).

2⁷⁵⁷⁹² is an apocalyptic number.

It is an amenable number.

75792 is an abundant number, since it is smaller than the sum of its proper divisors (120128).

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 (97960).

75792 is a wasteful number, since it uses less digits than its factorization.

75792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its digits is 4410, while the sum is 30.

The square root of 75792 is about 275.3034689211. The cubic root of 75792 is about 42.3195579348.

The spelling of 75792 in words is "seventy-five thousand, seven hundred ninety-two".