6007872 has 112 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 1763328.

The previous prime is 6007867. The next prime is 6007873. The reversal of 6007872 is 2787006.

It is not an unprimeable number, because it can be changed into a prime (6007873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72343 + ... + 72425.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^6007872 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 6007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

6007872 is an abundant number, since it is smaller than the sum of its proper divisors (11914368).

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

6007872 is a wasteful number, since it uses less digits than its factorization.

6007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 6007872 is about 2451.0960813481. The cubic root of 6007872 is about 181.7914932948.

The spelling of 6007872 in words is "six million, seven thousand, eight hundred seventy-two".