395872 has 24 divisors (see below), whose sum is σ = 793800. Its totient is φ = 194304.

The previous prime is 395851. The next prime is 395873. The reversal of 395872 is 278593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395873) 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, 2779 + ... + 2917.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2³⁹⁵⁸⁷² is an apocalyptic number.

395872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

395872 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.

395872 is a wasteful number, since it uses less digits than its factorization.

395872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 230 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 395872 is about 629.1835980062. The cubic root of 395872 is about 73.4262916650.

The spelling of 395872 in words is "three hundred ninety-five thousand, eight hundred seventy-two".