6872010 has 64 divisors (see below), whose sum is σ = 17466624. Its totient is φ = 1728000.

The previous prime is 6871981. The next prime is 6872017. The reversal of 6872010 is 102786.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6872017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45435 + ... + 45585.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 2^6872010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733312).

6872010 is an abundant number, since it is smaller than the sum of its proper divisors (10594614).

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

6872010 is a wasteful number, since it uses less digits than its factorization.

6872010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 6872010 is about 2621.4518877904. The cubic root of 6872010 is about 190.1200533976.

Adding to 6872010 its reverse (102786), we get a palindrome (6974796).

The spelling of 6872010 in words is "six million, eight hundred seventy-two thousand, ten".