803272 has 32 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 374400.

The previous prime is 803269. The next prime is 803273. The reversal of 803272 is 272308.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (803273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10129 + ... + 10207.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2⁸⁰³²⁷² is an apocalyptic number.

803272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

803272 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

803272 is a wasteful number, since it uses less digits than its factorization.

803272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 803272 is about 896.2544281620. The cubic root of 803272 is about 92.9581651744.

The spelling of 803272 in words is "eight hundred three thousand, two hundred seventy-two".