8686272 has 112 divisors (see below), whose sum is σ = 27505152. Its totient is φ = 2365440.

The previous prime is 8686259. The next prime is 8686273. The reversal of 8686272 is 2726868.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8686272.

It is not an unprimeable number, because it can be changed into a prime (8686273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30772 + ... + 31052.

Almost surely, 2^8686272 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 8686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752576).

8686272 is an abundant number, since it is smaller than the sum of its proper divisors (18818880).

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

8686272 is a wasteful number, since it uses less digits than its factorization.

8686272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 8686272 is about 2947.2482080748. The cubic root of 8686272 is about 205.5627764474.

It can be divided in two parts, 868 and 6272, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 8686272 in words is "eight million, six hundred eighty-six thousand, two hundred seventy-two".