385672 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 161280.

The previous prime is 385663. The next prime is 385709. The reversal of 385672 is 276583.

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

It is a congruent number.

It is an unprimeable number.

385672 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, 3928 + ... + 4024.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2³⁸⁵⁶⁷² 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 385672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

385672 is an abundant number, since it is smaller than the sum of its proper divisors (461048).

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

385672 is a wasteful number, since it uses less digits than its factorization.

385672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 385672 is about 621.0249592408. The cubic root of 385672 is about 72.7901649154.

Subtracting from 385672 its sum of digits (31), we obtain a square (385641 = 621²).

The spelling of 385672 in words is "three hundred eighty-five thousand, six hundred seventy-two".