27927872 has 112 divisors (see below), whose sum is σ = 70957440. Its totient is φ = 10616832.

The previous prime is 27927857. The next prime is 27927901. The reversal of 27927872 is 27872972.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 144608 + ... + 144800.

Almost surely, 2^27927872 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 27927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35478720).

27927872 is an abundant number, since it is smaller than the sum of its proper divisors (43029568).

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

27927872 is a wasteful number, since it uses less digits than its factorization.

27927872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 197568, while the sum is 44.

The square root of 27927872 is about 5284.6827719363. The cubic root of 27927872 is about 303.3979312033.

The spelling of 27927872 in words is "twenty-seven million, nine hundred twenty-seven thousand, eight hundred seventy-two".