27724112 has 30 divisors (see below), whose sum is σ = 58170942. Its totient is φ = 12794496.

The previous prime is 27724111. The next prime is 27724117. The reversal of 27724112 is 21142772.

It can be written as a sum of positive squares in 3 ways, for example, as 1263376 + 26460736 = 1124^2 + 5144^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27724111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2423 + ... + 7830.

Almost surely, 2^27724112 is an apocalyptic number.

It is an amenable number.

27724112 is an abundant number, since it is smaller than the sum of its proper divisors (30446830).

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

27724112 is a wasteful number, since it uses less digits than its factorization.

27724112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287 (or 10268 counting only the distinct ones).

The product of its digits is 1568, while the sum is 26.

The square root of 27724112 is about 5265.3691228631. The cubic root of 27724112 is about 302.6582720238.

Adding to 27724112 its reverse (21142772), we get a palindrome (48866884).

It can be divided in two parts, 277 and 24112, that added together give a cube (24389 = 29³).

The spelling of 27724112 in words is "twenty-seven million, seven hundred twenty-four thousand, one hundred twelve".