27055072 has 48 divisors (see below), whose sum is σ = 58759344. Its totient is φ = 12160000.

The previous prime is 27055027. The next prime is 27055087.

27055072 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 27055072.

It is a congruent number.

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, 35172 + ... + 35932.

It is an arithmetic number, because the mean of its divisors is an integer number (1224153).

Almost surely, 2^27055072 is an apocalyptic number.

27055072 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 27055072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29379672).

27055072 is an abundant number, since it is smaller than the sum of its proper divisors (31704272).

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

27055072 is a wasteful number, since it uses less digits than its factorization.

27055072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 27055072 is about 5201.4490288765. The cubic root of 27055072 is about 300.2038318476.

It can be divided in two parts, 2705 and 5072, that added together give a palindrome (7777).

The spelling of 27055072 in words is "twenty-seven million, fifty-five thousand, seventy-two".