272208900200 has 96 divisors (see below), whose sum is σ = 657260443800. Its totient is φ = 104719319040.

The previous prime is 272208900167. The next prime is 272208900203. The reversal of 272208900200 is 2009802272.

It can be written as a sum of positive squares in 12 ways, for example, as 136845245476 + 135363654724 = 369926^2 + 367918^2 .

It is not an unprimeable number, because it can be changed into a prime (272208900203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399292 + ... + 1581908.

Almost surely, 2^272208900200 is an apocalyptic number.

272208900200 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 272208900200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328630221900).

272208900200 is an abundant number, since it is smaller than the sum of its proper divisors (385051543600).

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

272208900200 is a wasteful number, since it uses less digits than its factorization.

272208900200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182919 (or 182910 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 272208900200 in words is "two hundred seventy-two billion, two hundred eight million, nine hundred thousand, two hundred".