9973635072 has 288 divisors, whose sum is σ = 29146113360. Its totient is φ = 3030384640.

The previous prime is 9973635019. The next prime is 9973635181. The reversal of 9973635072 is 2705363799.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72800188 + ... + 72800324.

Almost surely, 2^9973635072 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 9973635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573056680).

9973635072 is an abundant number, since it is smaller than the sum of its proper divisors (19172478288).

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

9973635072 is a wasteful number, since it uses less digits than its factorization.

9973635072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The square root of 9973635072 is about 99868.0883565917. The cubic root of 9973635072 is about 2152.5396397766.

The spelling of 9973635072 in words is "nine billion, nine hundred seventy-three million, six hundred thirty-five thousand, seventy-two".