27305712 has 120 divisors (see below), whose sum is σ = 88518144. Its totient is φ = 7696512.

The previous prime is 27305701. The next prime is 27305737. The reversal of 27305712 is 21750372.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 103693 + ... + 103955.

Almost surely, 2^27305712 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 27305712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259072).

27305712 is an abundant number, since it is smaller than the sum of its proper divisors (61212432).

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

27305712 is a wasteful number, since it uses less digits than its factorization.

27305712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 27305712 is about 5225.4867715841. The cubic root of 27305712 is about 301.1280199208.

The spelling of 27305712 in words is "twenty-seven million, three hundred five thousand, seven hundred twelve".