27919872 has 120 divisors (see below), whose sum is σ = 82666584. Its totient is φ = 9068544.

The previous prime is 27919849. The next prime is 27919877. The reversal of 27919872 is 27891972.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27919877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336343 + ... + 336425.

Almost surely, 2^27919872 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 27919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41333292).

27919872 is an abundant number, since it is smaller than the sum of its proper divisors (54746712).

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

27919872 is an equidigital number, since it uses as much as digits as its factorization.

27919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 27919872 is about 5283.9258132567. The cubic root of 27919872 is about 303.3689587698.

The spelling of 27919872 in words is "twenty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".