27212320 has 48 divisors (see below), whose sum is σ = 65522520. Its totient is φ = 10676224.

The previous prime is 27212281. The next prime is 27212323. The reversal of 27212320 is 2321272.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 2650384 = 4956^2 + 1628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27212323) 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, 6876 + ... + 10084.

Almost surely, 2^27212320 is an apocalyptic number.

27212320 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 27212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32761260).

27212320 is an abundant number, since it is smaller than the sum of its proper divisors (38310200).

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

27212320 is a wasteful number, since it uses less digits than its factorization.

27212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 27212320 is about 5216.5429165301. The cubic root of 27212320 is about 300.7843180673.

Adding to 27212320 its reverse (2321272), we get a palindrome (29533592).

It can be divided in two parts, 2721 and 2320, that added together give a square (5041 = 71²).

The spelling of 27212320 in words is "twenty-seven million, two hundred twelve thousand, three hundred twenty".