393872 has 20 divisors (see below), whose sum is σ = 773760. Its totient is φ = 194208.

The previous prime is 393871. The next prime is 393901. The reversal of 393872 is 278393.

It is not an unprimeable number, because it can be changed into a prime (393871) 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 in 3 ways as a sum of consecutive naturals, for example, 1529 + ... + 1767.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2³⁹³⁸⁷² is an apocalyptic number.

It is an amenable number.

393872 is a deficient number, since it is larger than the sum of its proper divisors (379888).

393872 is a wasteful number, since it uses less digits than its factorization.

393872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 393872 is about 627.5922242985. The cubic root of 393872 is about 73.3024295864.

The spelling of 393872 in words is "three hundred ninety-three thousand, eight hundred seventy-two".