8083872 has 36 divisors (see below), whose sum is σ = 22989330. Its totient is φ = 2694528.

The previous prime is 8083861. The next prime is 8083877. The reversal of 8083872 is 2783808.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 266256 = 2796^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (8083877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13747 + ... + 14322.

Almost surely, 2^8083872 is an apocalyptic number.

It is an amenable number.

8083872 is an abundant number, since it is smaller than the sum of its proper divisors (14905458).

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

8083872 is a wasteful number, since it uses less digits than its factorization.

8083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28085 (or 28074 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8083872 is about 2843.2150815582. The cubic root of 8083872 is about 200.6965049221.

The spelling of 8083872 in words is "eight million, eighty-three thousand, eight hundred seventy-two".