352567872 has 84 divisors (see below), whose sum is σ = 1029728700. Its totient is φ = 115295232.

The previous prime is 352567847. The next prime is 352567883. The reversal of 352567872 is 278765253.

352567872 is a `hidden beast` number, since 3 + 5 + 2 + 567 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306110016 + 46457856 = 17496^2 + 6816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24754 + ... + 36302.

It is an arithmetic number, because the mean of its divisors is an integer number (12258675).

Almost surely, 2^352567872 is an apocalyptic number.

352567872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514864350).

352567872 is an abundant number, since it is smaller than the sum of its proper divisors (677160828).

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

352567872 is a wasteful number, since it uses less digits than its factorization.

352567872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620 (or 11607 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 352567872 is about 18776.7907801094. The cubic root of 352567872 is about 706.4491573770.

The spelling of 352567872 in words is "three hundred fifty-two million, five hundred sixty-seven thousand, eight hundred seventy-two".