8287872 has 64 divisors (see below), whose sum is σ = 22325760. Its totient is φ = 2723840.

The previous prime is 8287871. The next prime is 8287883. The reversal of 8287872 is 2787828.

8287872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8287871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43297 + ... + 43487.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 2^8287872 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 8287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

8287872 is an abundant number, since it is smaller than the sum of its proper divisors (14037888).

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

8287872 is a wasteful number, since it uses less digits than its factorization.

8287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its digits is 100352, while the sum is 42.

The square root of 8287872 is about 2878.8664435850. The cubic root of 8287872 is about 202.3707207148.

The spelling of 8287872 in words is "eight million, two hundred eighty-seven thousand, eight hundred seventy-two".