27312512 has 64 divisors (see below), whose sum is σ = 57364800. Its totient is φ = 12939264.

The previous prime is 27312497. The next prime is 27312517. The reversal of 27312512 is 21521372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27312517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345689 + ... + 345767.

It is an arithmetic number, because the mean of its divisors is an integer number (896325).

Almost surely, 2^27312512 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 27312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28682400).

27312512 is an abundant number, since it is smaller than the sum of its proper divisors (30052288).

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

27312512 is an equidigital number, since it uses as much as digits as its factorization.

27312512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 27312512 is about 5226.1373881673. The cubic root of 27312512 is about 301.1530146983.

Adding to 27312512 its reverse (21521372), we get a palindrome (48833884).

The spelling of 27312512 in words is "twenty-seven million, three hundred twelve thousand, five hundred twelve".