8290072512 has 168 divisors, whose sum is σ = 24402281904. Its totient is φ = 2689376256.

The previous prime is 8290072507. The next prime is 8290072519. The reversal of 8290072512 is 2152700928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290072519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10724158 + ... + 10724930.

It is an arithmetic number, because the mean of its divisors is an integer number (145251678).

Almost surely, 2^8290072512 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 8290072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201140952).

8290072512 is an abundant number, since it is smaller than the sum of its proper divisors (16112209392).

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

8290072512 is a wasteful number, since it uses less digits than its factorization.

8290072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8290072512 is about 91049.8353211031. The cubic root of 8290072512 is about 2023.8862960595.

The spelling of 8290072512 in words is "eight billion, two hundred ninety million, seventy-two thousand, five hundred twelve".