386272 has 12 divisors (see below), whose sum is σ = 760536. Its totient is φ = 193120.

The previous prime is 386263. The next prime is 386279. The reversal of 386272 is 272683.

It is a self number, because there is not a number n which added to its sum of digits gives 386272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386279) by changing a digit.

386272 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 as a sum of consecutive naturals, namely, 6004 + ... + 6067.

It is an arithmetic number, because the mean of its divisors is an integer number (63378).

2³⁸⁶²⁷² is an apocalyptic number.

386272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

386272 is a deficient number, since it is larger than the sum of its proper divisors (374264).

386272 is a wasteful number, since it uses less digits than its factorization.

386272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12073 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 386272 is about 621.5078438765. The cubic root of 386272 is about 72.8278925442.

The spelling of 386272 in words is "three hundred eighty-six thousand, two hundred seventy-two".