387872 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 168960.

The previous prime is 387857. The next prime is 387911. The reversal of 387872 is 278783.

It is a happy number.

387872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

387872 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 7 ways as a sum of consecutive naturals, for example, 12497 + ... + 12527.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2³⁸⁷⁸⁷² is an apocalyptic number.

387872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

387872 is an abundant number, since it is smaller than the sum of its proper divisors (483040).

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

387872 is a wasteful number, since it uses less digits than its factorization.

387872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 387872 is about 622.7937058128. The cubic root of 387872 is about 72.9283089256.

The spelling of 387872 in words is "three hundred eighty-seven thousand, eight hundred seventy-two".