386772 has 24 divisors (see below), whose sum is σ = 912576. Its totient is φ = 127488.

The previous prime is 386747. The next prime is 386777. The reversal of 386772 is 277683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386777) by changing a digit.

386772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (38024).

2³⁸⁶⁷⁷² is an apocalyptic number.

It is an amenable number.

386772 is an abundant number, since it is smaller than the sum of its proper divisors (525804).

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

386772 is a wasteful number, since it uses less digits than its factorization.

386772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 386772 is about 621.9099613288. The cubic root of 386772 is about 72.8593024021.

The spelling of 386772 in words is "three hundred eighty-six thousand, seven hundred seventy-two".