27713712 has 80 divisors (see below), whose sum is σ = 80494848. Its totient is φ = 8152320.

The previous prime is 27713711. The next prime is 27713729. The reversal of 27713712 is 21731772.

It is a self number, because there is not a number n which added to its sum of digits gives 27713712.

It is not an unprimeable number, because it can be changed into a prime (27713711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13387 + ... + 15317.

Almost surely, 2^27713712 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 27713712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40247424).

27713712 is an abundant number, since it is smaller than the sum of its proper divisors (52781136).

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

27713712 is a wasteful number, since it uses less digits than its factorization.

27713712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 27713712 is about 5264.3814451462. The cubic root of 27713712 is about 302.6204224232.

The spelling of 27713712 in words is "twenty-seven million, seven hundred thirteen thousand, seven hundred twelve".