272222222272 has 336 divisors, whose sum is σ = 746425451520. Its totient is φ = 95807416320.

The previous prime is 272222222269. The next prime is 272222222273.

272222222272 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272222222273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33116979 + ... + 33125197.

It is an arithmetic number, because the mean of its divisors is an integer number (2221504320).

Almost surely, 2^272222222272 is an apocalyptic number.

272222222272 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 272222222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373212725760).

272222222272 is an abundant number, since it is smaller than the sum of its proper divisors (474203229248).

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

272222222272 is a wasteful number, since it uses less digits than its factorization.

272222222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8299 counting only the distinct ones).

The product of its digits is 50176, while the sum is 34.

It can be divided in two parts, 272222 and 222272, that added together give a palindrome (494494).

The spelling of 272222222272 in words is "two hundred seventy-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred seventy-two".