27127072 has 48 divisors (see below), whose sum is σ = 61387200. Its totient is φ = 11559168.

The previous prime is 27127069. The next prime is 27127081. The reversal of 27127072 is 27072172.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 27127072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77554 + ... + 77902.

It is an arithmetic number, because the mean of its divisors is an integer number (1278900).

Almost surely, 2^27127072 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 27127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693600).

27127072 is an abundant number, since it is smaller than the sum of its proper divisors (34260128).

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

27127072 is a wasteful number, since it uses less digits than its factorization.

27127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 27127072 is about 5208.3655785669. The cubic root of 27127072 is about 300.4699006307.

The spelling of 27127072 in words is "twenty-seven million, one hundred twenty-seven thousand, seventy-two".