1327165872 has 80 divisors (see below), whose sum is σ = 3623101440. Its totient is φ = 417770496.

The previous prime is 1327165871. The next prime is 1327165891. The reversal of 1327165872 is 2785617231.

It is a super-2 number, since 2×1327165872² = 3522738503603040768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1327165871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79608 + ... + 94824.

It is an arithmetic number, because the mean of its divisors is an integer number (45288768).

Almost surely, 2^1327165872 is an apocalyptic number.

1327165872 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 1327165872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811550720).

1327165872 is an abundant number, since it is smaller than the sum of its proper divisors (2295935568).

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

1327165872 is a wasteful number, since it uses less digits than its factorization.

1327165872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15330 (or 15324 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 1327165872 is about 36430.2878385554. The cubic root of 1327165872 is about 1098.9427505564.

The spelling of 1327165872 in words is "one billion, three hundred twenty-seven million, one hundred sixty-five thousand, eight hundred seventy-two".