352272000 has 256 divisors, whose sum is σ = 1202947200. Its totient is φ = 91136000.

The previous prime is 352271987. The next prime is 352272007. The reversal of 352272000 is 272253.

352272000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (352272007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967911 + ... + 1968089.

Almost surely, 2^352272000 is an apocalyptic number.

352272000 is a gapful number since it is divisible by the number (30) 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 352272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

352272000 is an abundant number, since it is smaller than the sum of its proper divisors (850675200).

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

352272000 is a wasteful number, since it uses less digits than its factorization.

352272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 352272000 is about 18768.9104638495. The cubic root of 352272000 is about 706.2514866703.

The spelling of 352272000 in words is "three hundred fifty-two million, two hundred seventy-two thousand".