1072306421808 has 80 divisors (see below), whose sum is σ = 2800265592960. Its totient is φ = 353556517888.

The previous prime is 1072306421789. The next prime is 1072306421873. The reversal of 1072306421808 is 8081246032701.

It is a super-2 number, since 2×1072306421808² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072306421808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226216 + ... + 3543032.

It is an arithmetic number, because the mean of its divisors is an integer number (35003319912).

Almost surely, 2^{1072306421808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072306421808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400132796480).

1072306421808 is an abundant number, since it is smaller than the sum of its proper divisors (1727959171152).

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

1072306421808 is a wasteful number, since it uses less digits than its factorization.

1072306421808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317594 (or 317588 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 1072306421808 in words is "one trillion, seventy-two billion, three hundred six million, four hundred twenty-one thousand, eight hundred eight".