272711117272 has 64 divisors (see below), whose sum is σ = 564028012800. Its totient is φ = 122582640000.

The previous prime is 272711117219. The next prime is 272711117279.

272711117272 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272711117279) 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, 7438747 + ... + 7475317.

It is an arithmetic number, because the mean of its divisors is an integer number (8812937700).

Almost surely, 2^272711117272 is an apocalyptic number.

272711117272 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 272711117272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282014006400).

272711117272 is an abundant number, since it is smaller than the sum of its proper divisors (291316895528).

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

272711117272 is a wasteful number, since it uses less digits than its factorization.

272711117272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37528 (or 37524 counting only the distinct ones).

The product of its digits is 38416, while the sum is 40.

It can be divided in two parts, 272711 and 117272, that added together give a palindrome (389983).

The spelling of 272711117272 in words is "two hundred seventy-two billion, seven hundred eleven million, one hundred seventeen thousand, two hundred seventy-two".