27456672 has 48 divisors (see below), whose sum is σ = 75872160. Its totient is φ = 8669952.

The previous prime is 27456659. The next prime is 27456713. The reversal of 27456672 is 27665472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27456672.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5703 + ... + 9350.

It is an arithmetic number, because the mean of its divisors is an integer number (1580670).

Almost surely, 2^27456672 is an apocalyptic number.

It is an amenable number.

27456672 is an abundant number, since it is smaller than the sum of its proper divisors (48415488).

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

27456672 is a wasteful number, since it uses less digits than its factorization.

27456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15077 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 27456672 is about 5239.9114496335. The cubic root of 27456672 is about 301.6819305213.

The spelling of 27456672 in words is "twenty-seven million, four hundred fifty-six thousand, six hundred seventy-two".