27652072 has 48 divisors (see below), whose sum is σ = 62955360. Its totient is φ = 11331936.

The previous prime is 27652067. The next prime is 27652073. The reversal of 27652072 is 27025672.

It is not an unprimeable number, because it can be changed into a prime (27652073) 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, 7483 + ... + 10549.

It is an arithmetic number, because the mean of its divisors is an integer number (1311570).

Almost surely, 2^27652072 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 27652072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31477680).

27652072 is an abundant number, since it is smaller than the sum of its proper divisors (35303288).

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

27652072 is a wasteful number, since it uses less digits than its factorization.

27652072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 27652072 is about 5258.5237472127. The cubic root of 27652072 is about 302.3958961492.

The spelling of 27652072 in words is "twenty-seven million, six hundred fifty-two thousand, seventy-two".