272125202521272 has 32 divisors (see below), whose sum is σ = 680313421067280. Its totient is φ = 90708345538560.

The previous prime is 272125202521261. The next prime is 272125202521279.

272125202521272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×272125202521272² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272125202521279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62122122 + ... + 66358182.

Almost surely, 2^{272125202521272} is an apocalyptic number.

It is an amenable number.

272125202521272 is an abundant number, since it is smaller than the sum of its proper divisors (408188218546008).

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

272125202521272 is a wasteful number, since it uses less digits than its factorization.

272125202521272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912743 (or 6912739 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

It can be divided in two parts, 27212520 and 2521272, that added together give a palindrome (29733792).

The spelling of 272125202521272 in words is "two hundred seventy-two trillion, one hundred twenty-five billion, two hundred two million, five hundred twenty-one thousand, two hundred seventy-two".