27722772 has 144 divisors (see below), whose sum is σ = 89212032. Its totient is φ = 7050240.

The previous prime is 27722741. The next prime is 27722789.

27722772 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202288 + ... + 202424.

It is an arithmetic number, because the mean of its divisors is an integer number (619528).

Almost surely, 2^27722772 is an apocalyptic number.

27722772 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 27722772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606016).

27722772 is an abundant number, since it is smaller than the sum of its proper divisors (61489260).

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

27722772 is a wasteful number, since it uses less digits than its factorization.

27722772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 38416, while the sum is 36.

The square root of 27722772 is about 5265.2418747860. The cubic root of 27722772 is about 302.6533957796.

27722772 divided by its sum of digits (36) gives a palindrome (770077).

The spelling of 27722772 in words is "twenty-seven million, seven hundred twenty-two thousand, seven hundred seventy-two".