27740752 has 40 divisors (see below), whose sum is σ = 58261896. Its totient is φ = 12719616.

The previous prime is 27740743. The next prime is 27740773. The reversal of 27740752 is 25704772.

It can be written as a sum of positive squares in 4 ways, for example, as 16289296 + 11451456 = 4036^2 + 3384^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40638 + ... + 41314.

Almost surely, 2^27740752 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 27740752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29130948).

27740752 is an abundant number, since it is smaller than the sum of its proper divisors (30521144).

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

27740752 is a wasteful number, since it uses less digits than its factorization.

27740752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The square root of 27740752 is about 5266.9490219671. The cubic root of 27740752 is about 302.7188117013.

The spelling of 27740752 in words is "twenty-seven million, seven hundred forty thousand, seven hundred fifty-two".