8335872 has 120 divisors (see below), whose sum is σ = 25321296. Its totient is φ = 2737152.

The previous prime is 8335853. The next prime is 8335879. The reversal of 8335872 is 2785338.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8335879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124383 + ... + 124449.

Almost surely, 2^8335872 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 8335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660648).

8335872 is an abundant number, since it is smaller than the sum of its proper divisors (16985424).

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

8335872 is an frugal number, since it uses more digits than its factorization.

8335872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 8335872 is about 2887.1910224299. The cubic root of 8335872 is about 202.7606520068.

The spelling of 8335872 in words is "eight million, three hundred thirty-five thousand, eight hundred seventy-two".