27066072 has 32 divisors (see below), whose sum is σ = 73817280. Its totient is φ = 8201760.

The previous prime is 27066059. The next prime is 27066079.

27066072 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27066079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50998 + ... + 51525.

It is an arithmetic number, because the mean of its divisors is an integer number (2306790).

Almost surely, 2^27066072 is an apocalyptic number.

27066072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27066072 is an abundant number, since it is smaller than the sum of its proper divisors (46751208).

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

27066072 is a wasteful number, since it uses less digits than its factorization.

27066072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102543 (or 102539 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 27066072 is about 5202.5063190735. The cubic root of 27066072 is about 300.2445117703.

It can be divided in two parts, 2706 and 6072, that added together give a palindrome (8778).

The spelling of 27066072 in words is "twenty-seven million, sixty-six thousand, seventy-two".