27725000 has 48 divisors (see below), whose sum is σ = 65034900. Its totient is φ = 11080000.

The previous prime is 27724997. The next prime is 27725017. The reversal of 27725000 is 52772.

It can be written as a sum of positive squares in 6 ways, for example, as 11062276 + 16662724 = 3326^2 + 4082^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24446 + ... + 25554.

Almost surely, 2^27725000 is an apocalyptic number.

27725000 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 27725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32517450).

27725000 is an abundant number, since it is smaller than the sum of its proper divisors (37309900).

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

27725000 is an equidigital number, since it uses as much as digits as its factorization.

27725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 27725000 is about 5265.4534467603. The cubic root of 27725000 is about 302.6615033587.

Adding to 27725000 its reverse (52772), we get a palindrome (27777772).

The spelling of 27725000 in words is "twenty-seven million, seven hundred twenty-five thousand".