80712 has 48 divisors (see below), whose sum is σ = 234000. Its totient is φ = 25056.

The previous prime is 80701. The next prime is 80713. The reversal of 80712 is 21708.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (80713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1339 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (4875).

2⁸⁰⁷¹² 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 80712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117000).

80712 is an abundant number, since it is smaller than the sum of its proper divisors (153288).

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

80712 is a wasteful number, since it uses less digits than its factorization.

80712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 80712 is about 284.0985744420. The cubic root of 80712 is about 43.2161462279.

The spelling of 80712 in words is "eighty thousand, seven hundred twelve".