202201272 has 256 divisors, whose sum is σ = 705331200. Its totient is φ = 52907904.

The previous prime is 202201271. The next prime is 202201273. The reversal of 202201272 is 272102202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (202201271) and next prime (202201273).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1592073 + ... + 1592199.

It is an arithmetic number, because the mean of its divisors is an integer number (2755200).

Almost surely, 2^202201272 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 202201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352665600).

202201272 is an abundant number, since it is smaller than the sum of its proper divisors (503129928).

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

202201272 is a wasteful number, since it uses less digits than its factorization.

202201272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 202201272 is about 14219.7493648798. The cubic root of 202201272 is about 586.9412434284.

Adding to 202201272 its reverse (272102202), we get a palindrome (474303474).

It can be divided in two parts, 2022012 and 72, that added together give a square (2022084 = 1422²).

The spelling of 202201272 in words is "two hundred two million, two hundred one thousand, two hundred seventy-two".