352272 has 40 divisors (see below), whose sum is σ = 937440. Its totient is φ = 113920.

The previous prime is 352271. The next prime is 352273. The reversal of 352272 is 272253.

It is an interprime number because it is at equal distance from previous prime (352271) and next prime (352273).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (352271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1879 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2³⁵²²⁷² 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 352272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

352272 is an abundant number, since it is smaller than the sum of its proper divisors (585168).

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

352272 is a wasteful number, since it uses less digits than its factorization.

352272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

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

The square root of 352272 is about 593.5250626553. The cubic root of 352272 is about 70.6251486670.

It can be divided in two parts, 3 and 52272, that multiplied together give a square (156816 = 396²).

The spelling of 352272 in words is "three hundred fifty-two thousand, two hundred seventy-two".