7872210 has 48 divisors (see below), whose sum is σ = 21363264. Its totient is φ = 2007456.

The previous prime is 7872191. The next prime is 7872217. The reversal of 7872210 is 122787.

7872210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7872217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (445068).

Almost surely, 2^7872210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7872210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681632).

7872210 is an abundant number, since it is smaller than the sum of its proper divisors (13491054).

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

7872210 is a wasteful number, since it uses less digits than its factorization.

7872210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7872210 is about 2805.7458901333. The cubic root of 7872210 is about 198.9293622342.

Adding to 7872210 its reverse (122787), we get a palindrome (7994997).

The spelling of 7872210 in words is "seven million, eight hundred seventy-two thousand, two hundred ten".