8355872 has 54 divisors (see below), whose sum is σ = 19402173. Its totient is φ = 3532032.

The previous prime is 8355827. The next prime is 8355883. The reversal of 8355872 is 2785538.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8317456 + 38416 = 2884^2 + 196^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2044.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114428 + ... + 114500.

Almost surely, 2^8355872 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 8355872

8355872 is an abundant number, since it is smaller than the sum of its proper divisors (11046301).

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

8355872 is an equidigital number, since it uses as much as digits as its factorization.

8355872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 82 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 8355872 is about 2890.6525214906. The cubic root of 8355872 is about 202.9226816131.

It can be divided in two parts, 83 and 55872, that added together give a palindrome (55955).

The spelling of 8355872 in words is "eight million, three hundred fifty-five thousand, eight hundred seventy-two".