27813072 has 160 divisors (see below), whose sum is σ = 88565760. Its totient is φ = 7349760.

The previous prime is 27813067. The next prime is 27813083. The reversal of 27813072 is 27031872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455922 + ... + 455982.

It is an arithmetic number, because the mean of its divisors is an integer number (553536).

Almost surely, 2^27813072 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 27813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44282880).

27813072 is an abundant number, since it is smaller than the sum of its proper divisors (60752688).

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

27813072 is a wasteful number, since it uses less digits than its factorization.

27813072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 27813072 is about 5273.8100079544. The cubic root of 27813072 is about 302.9816455677.

The spelling of 27813072 in words is "twenty-seven million, eight hundred thirteen thousand, seventy-two".