800272 has 20 divisors (see below), whose sum is σ = 1691856. Its totient is φ = 363680.

The previous prime is 800243. The next prime is 800281. The reversal of 800272 is 272008.

It is an unprimeable 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, 2098 + ... + 2449.

2⁸⁰⁰²⁷² is an apocalyptic number.

It is an amenable number.

800272 is an abundant number, since it is smaller than the sum of its proper divisors (891584).

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

800272 is a wasteful number, since it uses less digits than its factorization.

800272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4560 counting only the distinct ones).

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

The square root of 800272 is about 894.5792307001. The cubic root of 800272 is about 92.8422964148.

The spelling of 800272 in words is "eight hundred thousand, two hundred seventy-two".