27312714 has 112 divisors (see below), whose sum is σ = 72715104. Its totient is φ = 7581600.

The previous prime is 27312679. The next prime is 27312757. The reversal of 27312714 is 41721372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 208429 + ... + 208559.

It is an arithmetic number, because the mean of its divisors is an integer number (649242).

Almost surely, 2^27312714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27312714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36357552).

27312714 is an abundant number, since it is smaller than the sum of its proper divisors (45402390).

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

27312714 is a wasteful number, since it uses less digits than its factorization.

27312714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 27312714 is about 5226.1567140682. The cubic root of 27312714 is about 301.1537571267.

It can be divided in two parts, 2731 and 2714, that added together give a palindrome (5445).

The spelling of 27312714 in words is "twenty-seven million, three hundred twelve thousand, seven hundred fourteen".