200072 has 16 divisors (see below), whose sum is σ = 380700. Its totient is φ = 98560.

The previous prime is 200063. The next prime is 200087. The reversal of 200072 is 270002.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 1156 = 446^2 + 34^2 .

It is an unprimeable number.

200072 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 in 3 ways as a sum of consecutive naturals, for example, 572 + ... + 852.

2²⁰⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

200072 is a deficient number, since it is larger than the sum of its proper divisors (180628).

200072 is a wasteful number, since it uses less digits than its factorization.

200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 200072 is about 447.2940867036. The cubic root of 200072 is about 58.4873715649.

Adding to 200072 its reverse (270002), we get a palindrome (470074).

The spelling of 200072 in words is "two hundred thousand, seventy-two", and thus it is an iban number.