9727872 has 192 divisors, whose sum is σ = 33488640. Its totient is φ = 2472960.

The previous prime is 9727871. The next prime is 9727889. The reversal of 9727872 is 2787279.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9727871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206953 + ... + 206999.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

Almost surely, 2^9727872 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 9727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

9727872 is an abundant number, since it is smaller than the sum of its proper divisors (23760768).

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

9727872 is a wasteful number, since it uses less digits than its factorization.

9727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 9727872 is about 3118.9536707043. The cubic root of 9727872 is about 213.4711956124.

The spelling of 9727872 in words is "nine million, seven hundred twenty-seven thousand, eight hundred seventy-two".