200272 has 10 divisors (see below), whose sum is σ = 388058. Its totient is φ = 100128.

The previous prime is 200257. The next prime is 200273. The reversal of 200272 is 272002.

200272 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 3136 = 444^2 + 56^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200273) by changing a digit.

200272 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 6243 + ... + 6274.

2²⁰⁰²⁷² is an apocalyptic number.

It is an amenable number.

200272 is a deficient number, since it is larger than the sum of its proper divisors (187786).

200272 is a wasteful number, since it uses less digits than its factorization.

200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 200272 is about 447.5175974194. The cubic root of 200272 is about 58.5068538491.

Adding to 200272 its reverse (272002), we get a palindrome (472274).

The spelling of 200272 in words is "two hundred thousand, two hundred seventy-two", and thus it is an iban number.