27867672 has 96 divisors (see below), whose sum is σ = 90082800. Its totient is φ = 7959168.

The previous prime is 27867649. The next prime is 27867673. The reversal of 27867672 is 27676872.

It is a happy number.

27867672 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27867673) 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 23 ways as a sum of consecutive naturals, for example, 9268 + ... + 11900.

Almost surely, 2^27867672 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 27867672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45041400).

27867672 is an abundant number, since it is smaller than the sum of its proper divisors (62215128).

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

27867672 is a wasteful number, since it uses less digits than its factorization.

27867672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2645 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 27867672 is about 5278.9839931563. The cubic root of 27867672 is about 303.1797776373.

The spelling of 27867672 in words is "twenty-seven million, eight hundred sixty-seven thousand, six hundred seventy-two".