272182200201 has 6 divisors (see below), whose sum is σ = 393152066970. Its totient is φ = 181454800128.

The previous prime is 272182200179. The next prime is 272182200313. The reversal of 272182200201 is 102002281272.

272182200201 is a `hidden beast` number, since 27 + 218 + 220 + 0 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240613794576 + 31568405625 = 490524^2 + 177675^2 .

It is a de Polignac number, because none of the positive numbers 2^k-272182200201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (272182204201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15121233336 + ... + 15121233353.

It is an arithmetic number, because the mean of its divisors is an integer number (65525344495).

Almost surely, 2^272182200201 is an apocalyptic number.

It is an amenable number.

272182200201 is a deficient number, since it is larger than the sum of its proper divisors (120969866769).

272182200201 is a wasteful number, since it uses less digits than its factorization.

272182200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30242466695 (or 30242466692 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 272182200201 its reverse (102002281272), we get a palindrome (374184481473).

The spelling of 272182200201 in words is "two hundred seventy-two billion, one hundred eighty-two million, two hundred thousand, two hundred one".