8392072896 has 168 divisors, whose sum is σ = 25187788080. Its totient is φ = 2667915264.

The previous prime is 8392072889. The next prime is 8392072901. The reversal of 8392072896 is 6982702938.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1383406 + ... + 1389458.

It is an arithmetic number, because the mean of its divisors is an integer number (149927310).

Almost surely, 2^8392072896 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 8392072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593894040).

8392072896 is an abundant number, since it is smaller than the sum of its proper divisors (16795715184).

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

8392072896 is a wasteful number, since it uses less digits than its factorization.

8392072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8392072896 is about 91608.2577937164. The cubic root of 8392072896 is about 2032.1530616097.

It can be divided in two parts, 83920 and 72896, that added together give a square (156816 = 396²).

The spelling of 8392072896 in words is "eight billion, three hundred ninety-two million, seventy-two thousand, eight hundred ninety-six".