272687786272 has 96 divisors (see below), whose sum is σ = 626250610944. Its totient is φ = 115502592000.

The previous prime is 272687786237. The next prime is 272687786291.

272687786272 is nontrivially palindromic in base 10.

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, 378793 + ... + 829975.

It is an arithmetic number, because the mean of its divisors is an integer number (6523443864).

Almost surely, 2^272687786272 is an apocalyptic number.

272687786272 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 272687786272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313125305472).

272687786272 is an abundant number, since it is smaller than the sum of its proper divisors (353562824672).

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

272687786272 is a wasteful number, since it uses less digits than its factorization.

272687786272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451322 (or 451314 counting only the distinct ones).

The product of its digits is 88510464, while the sum is 64.

The spelling of 272687786272 in words is "two hundred seventy-two billion, six hundred eighty-seven million, seven hundred eighty-six thousand, two hundred seventy-two".