1345327872 has 144 divisors (see below), whose sum is σ = 4112462592. Its totient is φ = 382464000.

The previous prime is 1345327871. The next prime is 1345327873. The reversal of 1345327872 is 2787235431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1345327871) and next prime (1345327873).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (282240) is a multiple of the sum of its prime divisors (1260).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345327871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348878 + ... + 1349874.

It is an arithmetic number, because the mean of its divisors is an integer number (28558768).

Almost surely, 2^1345327872 is an apocalyptic number.

1345327872 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 1345327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056231296).

1345327872 is an abundant number, since it is smaller than the sum of its proper divisors (2767134720).

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

1345327872 is an equidigital number, since it uses as much as digits as its factorization.

1345327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1260 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 1345327872 is about 36678.7114277478. The cubic root of 1345327872 is about 1103.9329932026.

The spelling of 1345327872 in words is "one billion, three hundred forty-five million, three hundred twenty-seven thousand, eight hundred seventy-two".