8385372072 has 448 divisors, whose sum is σ = 29917071360. Its totient is φ = 2139177600.

The previous prime is 8385372067. The next prime is 8385372089. The reversal of 8385372072 is 2702735838.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31883413 + ... + 31883675.

Almost surely, 2^8385372072 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 8385372072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958535680).

8385372072 is an abundant number, since it is smaller than the sum of its proper divisors (21531699288).

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

8385372072 is a wasteful number, since it uses less digits than its factorization.

8385372072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8385372072 is about 91571.6772370147. The cubic root of 8385372072 is about 2031.6120460558.

The spelling of 8385372072 in words is "eight billion, three hundred eighty-five million, three hundred seventy-two thousand, seventy-two".