1372782816 has 168 divisors, whose sum is σ = 4106750760. Its totient is φ = 451443456.

The previous prime is 1372782811. The next prime is 1372782833. The reversal of 1372782816 is 6182872731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372782811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1935870 + ... + 1936578.

It is an arithmetic number, because the mean of its divisors is an integer number (24444945).

Almost surely, 2^1372782816 is an apocalyptic number.

1372782816 is a gapful number since it is divisible by the number (16) 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 1372782816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053375380).

1372782816 is an abundant number, since it is smaller than the sum of its proper divisors (2733967944).

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

1372782816 is an frugal number, since it uses more digits than its factorization.

1372782816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 797 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1372782816 is about 37051.0838707858. The cubic root of 1372782816 is about 1111.3920300309.

The spelling of 1372782816 in words is "one billion, three hundred seventy-two million, seven hundred eighty-two thousand, eight hundred sixteen".