80272 has 20 divisors (see below), whose sum is σ = 161820. Its totient is φ = 38528.

The previous prime is 80263. The next prime is 80273. The reversal of 80272 is 27208.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 20736 = 244^2 + 144^2 .

It is not an unprimeable number, because it can be changed into a prime (80273) by changing a digit.

80272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 378 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (8091).

2⁸⁰²⁷² 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 80272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80910).

80272 is an abundant number, since it is smaller than the sum of its proper divisors (81548).

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

80272 is a wasteful number, since it uses less digits than its factorization.

80272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 80272 is about 283.3231370714. The cubic root of 80272 is about 43.1374724129.

The spelling of 80272 in words is "eighty thousand, two hundred seventy-two".