27431712 has 144 divisors (see below), whose sum is σ = 97336512. Its totient is φ = 7119360.

The previous prime is 27431707. The next prime is 27431731. The reversal of 27431712 is 21713472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21558 + ... + 22794.

It is an arithmetic number, because the mean of its divisors is an integer number (675948).

Almost surely, 2^27431712 is an apocalyptic number.

27431712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27431712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48668256).

27431712 is an abundant number, since it is smaller than the sum of its proper divisors (69904800).

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

27431712 is a wasteful number, since it uses less digits than its factorization.

27431712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

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

The square root of 27431712 is about 5237.5291884628. The cubic root of 27431712 is about 301.5904862766.

The spelling of 27431712 in words is "twenty-seven million, four hundred thirty-one thousand, seven hundred twelve".