9972017720 has 128 divisors (see below), whose sum is σ = 26576035200. Its totient is φ = 3294928896.

The previous prime is 9972017677. The next prime is 9972017729. The reversal of 9972017720 is 277102799.

It is a super-2 number, since 2×9972017720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972017729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6958124 + ... + 6959556.

It is an arithmetic number, because the mean of its divisors is an integer number (207625275).

Almost surely, 2^9972017720 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 9972017720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288017600).

9972017720 is an abundant number, since it is smaller than the sum of its proper divisors (16604017480).

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

9972017720 is a wasteful number, since it uses less digits than its factorization.

9972017720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 44.

The square root of 9972017720 is about 99859.9905868211. The cubic root of 9972017720 is about 2152.4232795773.

The spelling of 9972017720 in words is "nine billion, nine hundred seventy-two million, seventeen thousand, seven hundred twenty".