27725672 has 64 divisors (see below), whose sum is σ = 59633280. Its totient is φ = 11987712.

The previous prime is 27725671. The next prime is 27725681. The reversal of 27725672 is 27652772.

It is not an unprimeable number, because it can be changed into a prime (27725671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160178 + ... + 160350.

It is an arithmetic number, because the mean of its divisors is an integer number (931770).

Almost surely, 2^27725672 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 27725672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29816640).

27725672 is an abundant number, since it is smaller than the sum of its proper divisors (31907608).

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

27725672 is a wasteful number, since it uses less digits than its factorization.

27725672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its digits is 82320, while the sum is 38.

The square root of 27725672 is about 5265.5172585417. The cubic root of 27725672 is about 302.6639486474.

Subtracting from 27725672 its reverse (27652772), we obtain a square (72900 = 270²).

The spelling of 27725672 in words is "twenty-seven million, seven hundred twenty-five thousand, six hundred seventy-two".