9072100818 has 256 divisors, whose sum is σ = 23922708480. Its totient is φ = 2520460800.

The previous prime is 9072100811. The next prime is 9072100831. The reversal of 9072100818 is 8180012709.

9072100818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9072100811) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 66219646 + ... + 66219782.

It is an arithmetic number, because the mean of its divisors is an integer number (93448080).

Almost surely, 2^9072100818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072100818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961354240).

9072100818 is an abundant number, since it is smaller than the sum of its proper divisors (14850607662).

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

9072100818 is a wasteful number, since it uses less digits than its factorization.

9072100818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 9072100818 is about 95247.5764416082. The cubic root of 9072100818 is about 2085.6237127863.

The spelling of 9072100818 in words is "nine billion, seventy-two million, one hundred thousand, eight hundred eighteen".