9686272 has 36 divisors (see below), whose sum is σ = 19538596. Its totient is φ = 4792320.

The previous prime is 9686249. The next prime is 9686273. The reversal of 9686272 is 2726869.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 4596736 = 2256^2 + 2144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9686273) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40072 + ... + 40312.

Almost surely, 2^9686272 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 9686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769298).

9686272 is an abundant number, since it is smaller than the sum of its proper divisors (9852324).

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

9686272 is a wasteful number, since it uses less digits than its factorization.

9686272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 9686272 is about 3112.2776225780. The cubic root of 9686272 is about 213.1664667353.

It can be divided in two parts, 968 and 6272, that multiplied together give a square (6071296 = 2464²).

The spelling of 9686272 in words is "nine million, six hundred eighty-six thousand, two hundred seventy-two".