27152320 has 112 divisors (see below), whose sum is σ = 71432928. Its totient is φ = 9768960.

The previous prime is 27152309. The next prime is 27152327. The reversal of 27152320 is 2325172.

It is a junction number, because it is equal to n+sod(n) for n = 27152291 and 27152300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27152327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253707 + ... + 253813.

It is an arithmetic number, because the mean of its divisors is an integer number (637794).

Almost surely, 2^27152320 is an apocalyptic number.

27152320 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 27152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35716464).

27152320 is an abundant number, since it is smaller than the sum of its proper divisors (44280608).

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

27152320 is a wasteful number, since it uses less digits than its factorization.

27152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 27152320 is about 5210.7888078486. The cubic root of 27152320 is about 300.5630905835.

Adding to 27152320 its reverse (2325172), we get a palindrome (29477492).

It can be divided in two parts, 27152 and 320, that added together give a palindrome (27472).

The spelling of 27152320 in words is "twenty-seven million, one hundred fifty-two thousand, three hundred twenty".