352872 has 72 divisors (see below), whose sum is σ = 1070550. Its totient is φ = 104832.

The previous prime is 352867. The next prime is 352883. The reversal of 352872 is 278253.

352872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 181476 + 171396 = 426^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 352872.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12154 + ... + 12182.

352872 is a Friedman number, since it can be written as (7^(8-2)-5^2)*3, using all its digits and the basic arithmetic operations.

2³⁵²⁸⁷² 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 352872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535275).

352872 is an abundant number, since it is smaller than the sum of its proper divisors (717678).

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

352872 is a wasteful number, since it uses less digits than its factorization.

352872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 352872 is about 594.0303022574. The cubic root of 352872 is about 70.6652228652.

It can be divided in two parts, 3528 and 72, that multiplied together give a square (254016 = 504²).

The spelling of 352872 in words is "three hundred fifty-two thousand, eight hundred seventy-two".