27722134272 has 144 divisors (see below), whose sum is σ = 85477790720. Its totient is φ = 7811997696.

The previous prime is 27722134241. The next prime is 27722134283. The reversal of 27722134272 is 27243122772.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27722134272.

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, 357129 + ... + 427767.

Almost surely, 2^27722134272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27722134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42738895360).

27722134272 is an abundant number, since it is smaller than the sum of its proper divisors (57755656448).

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

27722134272 is an equidigital number, since it uses as much as digits as its factorization.

27722134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70738 (or 70724 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The spelling of 27722134272 in words is "twenty-seven billion, seven hundred twenty-two million, one hundred thirty-four thousand, two hundred seventy-two".