201652272 has 120 divisors (see below), whose sum is σ = 588057600. Its totient is φ = 64437120.

The previous prime is 201652193. The next prime is 201652273. The reversal of 201652272 is 272256102.

201652272 is a `hidden beast` number, since 2 + 0 + 1 + 652 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (201652273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888223 + ... + 888449.

It is an arithmetic number, because the mean of its divisors is an integer number (4900480).

Almost surely, 2^201652272 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 201652272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294028800).

201652272 is an abundant number, since it is smaller than the sum of its proper divisors (386405328).

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

201652272 is a wasteful number, since it uses less digits than its factorization.

201652272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

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

The square root of 201652272 is about 14200.4321061016. The cubic root of 201652272 is about 586.4095573325.

The spelling of 201652272 in words is "two hundred one million, six hundred fifty-two thousand, two hundred seventy-two".