385572 has 48 divisors (see below), whose sum is σ = 1032192. Its totient is φ = 110880.

The previous prime is 385571. The next prime is 385573. The reversal of 385572 is 275583.

It is a happy number.

385572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (385571) and next prime (385573).

Its product of digits (8400) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (385571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (21504).

2³⁸⁵⁵⁷² 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 385572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516096).

385572 is an abundant number, since it is smaller than the sum of its proper divisors (646620).

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

385572 is a wasteful number, since it uses less digits than its factorization.

385572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 385572 is about 620.9444419592. The cubic root of 385572 is about 72.7838731738.

The spelling of 385572 in words is "three hundred eighty-five thousand, five hundred seventy-two".