80752 has 30 divisors (see below), whose sum is σ = 183768. Its totient is φ = 34272.

The previous prime is 80749. The next prime is 80761. The reversal of 80752 is 25708.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 733 + ... + 835.

2⁸⁰⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91884).

80752 is an abundant number, since it is smaller than the sum of its proper divisors (103016).

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

80752 is a wasteful number, since it uses less digits than its factorization.

80752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 80752 is about 284.1689638226. The cubic root of 80752 is about 43.2232842014.

The spelling of 80752 in words is "eighty thousand, seven hundred fifty-two".