7004872 has 32 divisors (see below), whose sum is σ = 15364800. Its totient is φ = 2931264.

The previous prime is 7004843. The next prime is 7004873. The reversal of 7004872 is 2784007.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7004872.

It is not an unprimeable number, because it can be changed into a prime (7004873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954 + ... + 3862.

It is an arithmetic number, because the mean of its divisors is an integer number (480150).

Almost surely, 2^7004872 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 7004872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682400).

7004872 is an abundant number, since it is smaller than the sum of its proper divisors (8359928).

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

7004872 is a wasteful number, since it uses less digits than its factorization.

7004872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 7004872 is about 2646.6718723710. The cubic root of 7004872 is about 191.3374879885.

Adding to 7004872 its reverse (2784007), we get a palindrome (9788879).

The spelling of 7004872 in words is "seven million, four thousand, eight hundred seventy-two".