9972720 has 180 divisors, whose sum is σ = 36608520. Its totient is φ = 2519424.

The previous prime is 9972713. The next prime is 9972733. The reversal of 9972720 is 272799.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524871 + ... + 524889.

Almost surely, 2^9972720 is an apocalyptic number.

9972720 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 9972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18304260).

9972720 is an abundant number, since it is smaller than the sum of its proper divisors (26635800).

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

9972720 is an equidigital number, since it uses as much as digits as its factorization.

9972720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9972720 is about 3157.9613677181. The cubic root of 9972720 is about 215.2473806575.

The spelling of 9972720 in words is "nine million, nine hundred seventy-two thousand, seven hundred twenty".