304872 has 16 divisors (see below), whose sum is σ = 762240. Its totient is φ = 101616.

The previous prime is 304867. The next prime is 304879. The reversal of 304872 is 278403.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 12703 = 304872 / (3 + 0 + 4 + 8 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (304879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6328 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (47640).

2³⁰⁴⁸⁷² is an apocalyptic number.

It is an amenable number.

304872 is an abundant number, since it is smaller than the sum of its proper divisors (457368).

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

304872 is a wasteful number, since it uses less digits than its factorization.

304872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 304872 is about 552.1521529434. The cubic root of 304872 is about 67.3037371700.

It can be divided in two parts, 304 and 872, that added together give a triangular number (1176 = T₄₈).

The spelling of 304872 in words is "three hundred four thousand, eight hundred seventy-two".