9972235728 has 640 divisors, whose sum is σ = 37775360000. Its totient is φ = 2460077568.

The previous prime is 9972235703. The next prime is 9972235733. The reversal of 9972235728 is 8275322799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126230793 + ... + 126230871.

It is an arithmetic number, because the mean of its divisors is an integer number (59024000).

Almost surely, 2^9972235728 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 9972235728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18887680000).

9972235728 is an abundant number, since it is smaller than the sum of its proper divisors (27803124272).

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

9972235728 is a wasteful number, since it uses less digits than its factorization.

9972235728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 123 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 9972235728 is about 99861.0821491536. The cubic root of 9972235728 is about 2152.4389648708.

The spelling of 9972235728 in words is "nine billion, nine hundred seventy-two million, two hundred thirty-five thousand, seven hundred twenty-eight".