8202915072 has 432 divisors, whose sum is σ = 27779431680. Its totient is φ = 2300313600.

The previous prime is 8202915047. The next prime is 8202915101. The reversal of 8202915072 is 2705192028.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34036872 + ... + 34037112.

It is an arithmetic number, because the mean of its divisors is an integer number (64304240).

Almost surely, 2^8202915072 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 8202915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889715840).

8202915072 is an abundant number, since it is smaller than the sum of its proper divisors (19576516608).

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

8202915072 is a wasteful number, since it uses less digits than its factorization.

8202915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 353 counting only the distinct ones).

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

The square root of 8202915072 is about 90569.9457436075. The cubic root of 8202915072 is about 2016.7686033789.

The spelling of 8202915072 in words is "eight billion, two hundred two million, nine hundred fifteen thousand, seventy-two".