9939072000 has 704 divisors, whose sum is σ = 39055580928. Its totient is φ = 2211840000.

The previous prime is 9939071977. The next prime is 9939072001. The reversal of 9939072000 is 2709399.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9939072000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9939072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54911910 + ... + 54912090.

Almost surely, 2^9939072000 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 9939072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19527790464).

9939072000 is an abundant number, since it is smaller than the sum of its proper divisors (29116508928).

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

9939072000 is a wasteful number, since it uses less digits than its factorization.

9939072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 9939072000 is about 99694.8945533321. The cubic root of 9939072000 is about 2150.0502602276.

The spelling of 9939072000 in words is "nine billion, nine hundred thirty-nine million, seventy-two thousand".