388872 has 48 divisors (see below), whose sum is σ = 1151280. Its totient is φ = 117600.

The previous prime is 388859. The next prime is 388879. The reversal of 388872 is 278883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 388872.

It is not an unprimeable number, because it can be changed into a prime (388879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (23985).

2³⁸⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575640).

388872 is an abundant number, since it is smaller than the sum of its proper divisors (762408).

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

388872 is a wasteful number, since it uses less digits than its factorization.

388872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 388872 is about 623.5960230790. The cubic root of 388872 is about 72.9909290036.

It can be divided in two parts, 3888 and 72, that multiplied together give a 7-th power (279936 = 6⁷).

The spelling of 388872 in words is "three hundred eighty-eight thousand, eight hundred seventy-two".