80032 has 24 divisors (see below), whose sum is σ = 164052. Its totient is φ = 38400.

The previous prime is 80021. The next prime is 80039. The reversal of 80032 is 23008.

80032 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 24336 = 236^2 + 156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 79994 and 80021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80039) 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, 1282 + ... + 1342.

2⁸⁰⁰³² is an apocalyptic number.

80032 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026).

80032 is an abundant number, since it is smaller than the sum of its proper divisors (84020).

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

80032 is a wasteful number, since it uses less digits than its factorization.

80032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 80032 is about 282.8992753614. The cubic root of 80032 is about 43.0944381940.

It can be divided in two parts, 800 and 32, that multiplied together give a square (25600 = 160²).

The spelling of 80032 in words is "eighty thousand, thirty-two".