427872 has 24 divisors (see below), whose sum is σ = 1123416. Its totient is φ = 142592.

The previous prime is 427859. The next prime is 427877. The reversal of 427872 is 278724.

427872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427877) by changing a digit.

427872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2133 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (46809).

2⁴²⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

427872 is an abundant number, since it is smaller than the sum of its proper divisors (695544).

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

427872 is a wasteful number, since it uses less digits than its factorization.

427872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4462 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 427872 is about 654.1192551821. The cubic root of 427872 is about 75.3537070398.

The spelling of 427872 in words is "four hundred twenty-seven thousand, eight hundred seventy-two".