303872 has 18 divisors (see below), whose sum is σ = 607068. Its totient is φ = 151808.

The previous prime is 303871. The next prime is 303889. The reversal of 303872 is 278303.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (303871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (33726).

2³⁰³⁸⁷² is an apocalyptic number.

303872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

303872 is a deficient number, since it is larger than the sum of its proper divisors (303196).

303872 is an equidigital number, since it uses as much as digits as its factorization.

303872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 303872 is about 551.2458616625. The cubic root of 303872 is about 67.2300696872.

The spelling of 303872 in words is "three hundred three thousand, eight hundred seventy-two".