9973720 has 64 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 3700224.

The previous prime is 9973673. The next prime is 9973751. The reversal of 9973720 is 273799.

9973720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 9973720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33894 + ... + 34186.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^9973720 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 9973720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

9973720 is an abundant number, since it is smaller than the sum of its proper divisors (14157800).

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

9973720 is a wasteful number, since it uses less digits than its factorization.

9973720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 9973720 is about 3158.1196937418. The cubic root of 9973720 is about 215.2545749564.

The spelling of 9973720 in words is "nine million, nine hundred seventy-three thousand, seven hundred twenty".