9904050072 has 192 divisors, whose sum is σ = 31802284800. Its totient is φ = 2724422400.

The previous prime is 9904050071. The next prime is 9904050089. The reversal of 9904050072 is 2700504099.

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 (9904050071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6824947 + ... + 6826397.

It is an arithmetic number, because the mean of its divisors is an integer number (165636900).

Almost surely, 2^9904050072 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 9904050072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901142400).

9904050072 is an abundant number, since it is smaller than the sum of its proper divisors (21898234728).

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

9904050072 is a wasteful number, since it uses less digits than its factorization.

9904050072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9904050072 is about 99519.0940071301. The cubic root of 9904050072 is about 2147.5219382818.

The spelling of 9904050072 in words is "nine billion, nine hundred four million, fifty thousand, seventy-two".