272127100217 has 16 divisors (see below), whose sum is σ = 316902015360. Its totient is φ = 228827968512.

The previous prime is 272127100213. The next prime is 272127100229. The reversal of 272127100217 is 712001721272.

It is a cyclic number.

It is not a de Polignac number, because 272127100217 - 2² = 272127100213 is a prime.

It is a super-2 number, since 2×272127100217² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272127100213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4409858 + ... + 4471140.

It is an arithmetic number, because the mean of its divisors is an integer number (19806375960).

Almost surely, 2^272127100217 is an apocalyptic number.

It is an amenable number.

272127100217 is a deficient number, since it is larger than the sum of its proper divisors (44774915143).

272127100217 is a wasteful number, since it uses less digits than its factorization.

272127100217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73312.

The product of its (nonzero) digits is 5488, while the sum is 32.

Adding to 272127100217 its reverse (712001721272), we get a palindrome (984128821489).

The spelling of 272127100217 in words is "two hundred seventy-two billion, one hundred twenty-seven million, one hundred thousand, two hundred seventeen".