201272000 has 112 divisors (see below), whose sum is σ = 504809760. Its totient is φ = 79488000.

The previous prime is 201271999. The next prime is 201272003. The reversal of 201272000 is 272102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201272003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111910 + ... + 1112090.

It is an arithmetic number, because the mean of its divisors is an integer number (4507230).

Almost surely, 2^201272000 is an apocalyptic number.

201272000 is a gapful number since it is divisible by the number (20) 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 201272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252404880).

201272000 is an abundant number, since it is smaller than the sum of its proper divisors (303537760).

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

201272000 is a wasteful number, since it uses less digits than its factorization.

201272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 201272000 is about 14187.0363360358. The cubic root of 201272000 is about 586.0407120701.

The spelling of 201272000 in words is "two hundred one million, two hundred seventy-two thousand".