6872500 has 30 divisors (see below), whose sum is σ = 15034250. Its totient is φ = 2748000.

The previous prime is 6872479. The next prime is 6872501. The reversal of 6872500 is 52786.

It can be written as a sum of positive squares in 5 ways, for example, as 4169764 + 2702736 = 2042^2 + 1644^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872501) 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 9 ways as a sum of consecutive naturals, for example, 1126 + ... + 3874.

Almost surely, 2^6872500 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 6872500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517125).

6872500 is an abundant number, since it is smaller than the sum of its proper divisors (8161750).

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

6872500 is a wasteful number, since it uses less digits than its factorization.

6872500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 6872500 is about 2621.5453457837. The cubic root of 6872500 is about 190.1245720471.

The spelling of 6872500 in words is "six million, eight hundred seventy-two thousand, five hundred".