27000072 has 96 divisors (see below), whose sum is σ = 81038880. Its totient is φ = 8052480.

The previous prime is 27000049. The next prime is 27000079.

27000072 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (27000079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57583 + ... + 58049.

It is an arithmetic number, because the mean of its divisors is an integer number (844155).

Almost surely, 2^27000072 is an apocalyptic number.

27000072 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 27000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40519440).

27000072 is an abundant number, since it is smaller than the sum of its proper divisors (54038808).

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

27000072 is a wasteful number, since it uses less digits than its factorization.

27000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 27000072 is about 5196.1593509052. The cubic root of 27000072 is about 300.0002666664. Note that the first 3 decimals are identical.

It can be divided in two parts, 270000 and 72, that added together give a palindrome (270072).

The spelling of 27000072 in words is "twenty-seven million, seventy-two", and thus it is an aban number and an uban number.