272862068652272 has 80 divisors (see below), whose sum is σ = 582035554983168. Its totient is φ = 122888246154240.

The previous prime is 272862068652269. The next prime is 272862068652289. The reversal of 272862068652272 is 272256860268272.

It is a happy number.

272862068652272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 272862068652199 and 272862068652208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55371803 + ... + 60097925.

Almost surely, 2^{272862068652272} is an apocalyptic number.

272862068652272 is a gapful number since it is divisible by the number (22) 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 272862068652272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291017777491584).

272862068652272 is an abundant number, since it is smaller than the sum of its proper divisors (309173486330896).

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

272862068652272 is a wasteful number, since it uses less digits than its factorization.

272862068652272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729158 (or 4729152 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 65.

The spelling of 272862068652272 in words is "two hundred seventy-two trillion, eight hundred sixty-two billion, sixty-eight million, six hundred fifty-two thousand, two hundred seventy-two".