272626626272 has 192 divisors, whose sum is σ = 728087076864. Its totient is φ = 97035632640.

The previous prime is 272626626221. The next prime is 272626626313.

272626626272 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 272626626272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3063233 + ... + 3150975.

It is an arithmetic number, because the mean of its divisors is an integer number (3792120192).

Almost surely, 2^272626626272 is an apocalyptic number.

272626626272 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 272626626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364043538432).

272626626272 is an abundant number, since it is smaller than the sum of its proper divisors (455460450592).

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

272626626272 is a wasteful number, since it uses less digits than its factorization.

272626626272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87881 (or 87873 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 50.

It can be divided in two parts, 272626 and 626272, that added together give a palindrome (898898).

The spelling of 272626626272 in words is "two hundred seventy-two billion, six hundred twenty-six million, six hundred twenty-six thousand, two hundred seventy-two".