27822672 has 60 divisors (see below), whose sum is σ = 78676884. Its totient is φ = 9177600.

The previous prime is 27822667. The next prime is 27822673. The reversal of 27822672 is 27622872.

It can be written as a sum of positive squares in 2 ways, for example, as 25644096 + 2178576 = 5064^2 + 1476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27822673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13588 + ... + 15500.

Almost surely, 2^27822672 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 27822672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338442).

27822672 is an abundant number, since it is smaller than the sum of its proper divisors (50854212).

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

27822672 is a wasteful number, since it uses less digits than its factorization.

27822672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2019 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 27822672 is about 5274.7200873601. The cubic root of 27822672 is about 303.0165007516.

The spelling of 27822672 in words is "twenty-seven million, eight hundred twenty-two thousand, six hundred seventy-two".