9972270720 has 512 divisors, whose sum is σ = 37939104000. Its totient is φ = 2466643968.

The previous prime is 9972270713. The next prime is 9972270733. The reversal of 9972270720 is 270722799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24381876 + ... + 24382284.

Almost surely, 2^9972270720 is an apocalyptic number.

9972270720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969552000).

9972270720 is an abundant number, since it is smaller than the sum of its proper divisors (27966833280).

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

9972270720 is a wasteful number, since it uses less digits than its factorization.

9972270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 9972270720 is about 99861.2573523887. The cubic root of 9972270720 is about 2152.4414824626.

The spelling of 9972270720 in words is "nine billion, nine hundred seventy-two million, two hundred seventy thousand, seven hundred twenty".