27272420 has 72 divisors (see below), whose sum is σ = 70584696. Its totient is φ = 8795136.

The previous prime is 27272419. The next prime is 27272431. The reversal of 27272420 is 2427272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 729316 + 26543104 = 854^2 + 5152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27272420.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15842 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^27272420 is an apocalyptic number.

27272420 is a gapful number since it is divisible by the number (20) 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 27272420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35292348).

27272420 is an abundant number, since it is smaller than the sum of its proper divisors (43312276).

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

27272420 is a wasteful number, since it uses less digits than its factorization.

27272420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 27272420 is about 5222.3002594642. The cubic root of 27272420 is about 301.0055885027.

Subtracting from 27272420 its product of nonzero digits (3136), we obtain a square (27269284 = 5222²).

Adding to 27272420 its reverse (2427272), we get a palindrome (29699692).

The spelling of 27272420 in words is "twenty-seven million, two hundred seventy-two thousand, four hundred twenty".