1327973472 has 144 divisors (see below), whose sum is σ = 4416572160. Its totient is φ = 370573056.

The previous prime is 1327973467. The next prime is 1327973473. The reversal of 1327973472 is 2743797231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327973473) 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, 79029 + ... + 94347.

It is an arithmetic number, because the mean of its divisors is an integer number (30670640).

Almost surely, 2^1327973472 is an apocalyptic number.

1327973472 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 1327973472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208286080).

1327973472 is an abundant number, since it is smaller than the sum of its proper divisors (3088598688).

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

1327973472 is a wasteful number, since it uses less digits than its factorization.

1327973472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15385 (or 15374 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 1327973472 is about 36441.3703364734. The cubic root of 1327973472 is about 1099.1656129794.

The spelling of 1327973472 in words is "one billion, three hundred twenty-seven million, nine hundred seventy-three thousand, four hundred seventy-two".