272013121310272 has 28 divisors (see below), whose sum is σ = 539778493661580. Its totient is φ = 136005941805056.

The previous prime is 272013121310251. The next prime is 272013121310321.

272013121310272 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 53963480928256 + 218049640382016 = 7345984^2 + 14766504^2 .

It is a super-2 number, since 2×272013121310272² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4670688 + ... + 23787424.

Almost surely, 2^{272013121310272} is an apocalyptic number.

It is an amenable number.

272013121310272 is a deficient number, since it is larger than the sum of its proper divisors (267765372351308).

272013121310272 is a wasteful number, since it uses less digits than its factorization.

272013121310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339078 (or 19339068 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 272013121310272 in words is "two hundred seventy-two trillion, thirteen billion, one hundred twenty-one million, three hundred ten thousand, two hundred seventy-two".