27742272 has 112 divisors (see below), whose sum is σ = 78028800. Its totient is φ = 8686080.

The previous prime is 27742259. The next prime is 27742343. The reversal of 27742272 is 27224772.

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, 351129 + ... + 351207.

Almost surely, 2^27742272 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 27742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39014400).

27742272 is an abundant number, since it is smaller than the sum of its proper divisors (50286528).

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

27742272 is a wasteful number, since it uses less digits than its factorization.

27742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its digits is 21952, while the sum is 33.

The square root of 27742272 is about 5267.0933160520. The cubic root of 27742272 is about 302.7243405612.

The spelling of 27742272 in words is "twenty-seven million, seven hundred forty-two thousand, two hundred seventy-two".