9812511072 has 576 divisors, whose sum is σ = 36471052800. Its totient is φ = 2578770432.

The previous prime is 9812511043. The next prime is 9812511083. The reversal of 9812511072 is 2701152189.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 34673043 + ... + 34673325.

It is an arithmetic number, because the mean of its divisors is an integer number (63317800).

Almost surely, 2^9812511072 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 9812511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235526400).

9812511072 is an abundant number, since it is smaller than the sum of its proper divisors (26658541728).

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

9812511072 is a wasteful number, since it uses less digits than its factorization.

9812511072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 9812511072 is about 99058.1196671934. The cubic root of 9812511072 is about 2140.8852330882.

The spelling of 9812511072 in words is "nine billion, eight hundred twelve million, five hundred eleven thousand, seventy-two".