27744672 has 96 divisors (see below), whose sum is σ = 76531392. Its totient is φ = 8792064.

The previous prime is 27744667. The next prime is 27744701. The reversal of 27744672 is 27644772.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 27744672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259243 + ... + 259349.

It is an arithmetic number, because the mean of its divisors is an integer number (797202).

Almost surely, 2^27744672 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 27744672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38265696).

27744672 is an abundant number, since it is smaller than the sum of its proper divisors (48786720).

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

27744672 is a wasteful number, since it uses less digits than its factorization.

27744672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 131712, while the sum is 39.

The square root of 27744672 is about 5267.3211407698. The cubic root of 27744672 is about 302.7330699287.

The spelling of 27744672 in words is "twenty-seven million, seven hundred forty-four thousand, six hundred seventy-two".