201187272 has 192 divisors, whose sum is σ = 620585280. Its totient is φ = 53568000.

The previous prime is 201187271. The next prime is 201187277. The reversal of 201187272 is 272781102.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201187271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298122 + ... + 3298182.

It is an arithmetic number, because the mean of its divisors is an integer number (3232215).

Almost surely, 2^201187272 is an apocalyptic number.

201187272 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 201187272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

201187272 is an abundant number, since it is smaller than the sum of its proper divisors (419398008).

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

201187272 is a wasteful number, since it uses less digits than its factorization.

201187272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 201187272 is about 14184.0499153098. The cubic root of 201187272 is about 585.9584667726.

The spelling of 201187272 in words is "two hundred one million, one hundred eighty-seven thousand, two hundred seventy-two".