27152000 has 64 divisors (see below), whose sum is σ = 67546440. Its totient is φ = 10854400.

The previous prime is 27151921. The next prime is 27152003. The reversal of 27152000 is 25172.

It can be written as a sum of positive squares in 4 ways, for example, as 15808576 + 11343424 = 3976^2 + 3368^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×27152000² = 1474462208000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27152000.

It is not an unprimeable number, because it can be changed into a prime (27152003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15152 + ... + 16848.

Almost surely, 2^27152000 is an apocalyptic number.

27152000 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 27152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33773220).

27152000 is an abundant number, since it is smaller than the sum of its proper divisors (40394440).

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

27152000 is an equidigital number, since it uses as much as digits as its factorization.

27152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 27152000 is about 5210.7581022343. The cubic root of 27152000 is about 300.5619098303.

Adding to 27152000 its reverse (25172), we get a palindrome (27177172).

The spelling of 27152000 in words is "twenty-seven million, one hundred fifty-two thousand".