386672 has 40 divisors (see below), whose sum is σ = 885360. Its totient is φ = 162240.

The previous prime is 386651. The next prime is 386677. The reversal of 386672 is 276683.

It is a d-powerful number, because it can be written as 3¹⁰ + 8³ + 6⁶ + 6⁷ + 7 + 2⁹ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386672.

It is not an unprimeable number, because it can be changed into a prime (386677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29738 + ... + 29750.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2³⁸⁶⁶⁷² 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 386672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442680).

386672 is an abundant number, since it is smaller than the sum of its proper divisors (498688).

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

386672 is a wasteful number, since it uses less digits than its factorization.

386672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 26 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 386672 is about 621.8295586413. The cubic root of 386672 is about 72.8530225970.

The spelling of 386672 in words is "three hundred eighty-six thousand, six hundred seventy-two".