201352272 has 80 divisors (see below), whose sum is σ = 597342720. Its totient is φ = 57801600.

The previous prime is 201352243. The next prime is 201352289. The reversal of 201352272 is 272253102.

It is a happy number.

201352272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 20067.

It is an arithmetic number, because the mean of its divisors is an integer number (7466784).

Almost surely, 2^201352272 is an apocalyptic number.

201352272 is a gapful number since it is divisible by the number (22) 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 201352272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298671360).

201352272 is an abundant number, since it is smaller than the sum of its proper divisors (395990448).

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

201352272 is a wasteful number, since it uses less digits than its factorization.

201352272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20112 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 201352272 is about 14189.8651156380. The cubic root of 201352272 is about 586.1186106477.

It can be divided in two parts, 2013 and 52272, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 201352272 in words is "two hundred one million, three hundred fifty-two thousand, two hundred seventy-two".