1327840272 has 120 divisors (see below), whose sum is σ = 4065141600. Its totient is φ = 401264640.

The previous prime is 1327840243. The next prime is 1327840273. The reversal of 1327840272 is 2720487231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1327840273) 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 23 ways as a sum of consecutive naturals, for example, 710283 + ... + 712149.

It is an arithmetic number, because the mean of its divisors is an integer number (33876180).

Almost surely, 2^1327840272 is an apocalyptic number.

1327840272 is a gapful number since it is divisible by the number (12) 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 1327840272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032570800).

1327840272 is an abundant number, since it is smaller than the sum of its proper divisors (2737301328).

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

1327840272 is a wasteful number, since it uses less digits than its factorization.

1327840272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1327840272 is about 36439.5426974599. The cubic root of 1327840272 is about 1099.1288618048.

The spelling of 1327840272 in words is "one billion, three hundred twenty-seven million, eight hundred forty thousand, two hundred seventy-two".