1827272000 has 56 divisors (see below), whose sum is σ = 4525258920. Its totient is φ = 730905600.

The previous prime is 1827271997. The next prime is 1827272003. The reversal of 1827272000 is 2727281.

1827272000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1827271997) and next prime (1827272003).

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 1826365696 = 952^2 + 42736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827272003) 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, 106205 + ... + 122204.

It is an arithmetic number, because the mean of its divisors is an integer number (80808195).

Almost surely, 2^1827272000 is an apocalyptic number.

1827272000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1827272000 is an abundant number, since it is smaller than the sum of its proper divisors (2697986920).

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

1827272000 is an equidigital number, since it uses as much as digits as its factorization.

1827272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228436 (or 228416 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 1827272000 is about 42746.6022041519. The cubic root of 1827272000 is about 1222.5531053945.

Adding to 1827272000 its reverse (2727281), we get a palindrome (1829999281).

The spelling of 1827272000 in words is "one billion, eight hundred twenty-seven million, two hundred seventy-two thousand".