10872500 has 30 divisors (see below), whose sum is σ = 23781450. Its totient is φ = 4348000.

The previous prime is 10872497. The next prime is 10872509. The reversal of 10872500 is 527801.

It can be written as a sum of positive squares in 5 ways, for example, as 7639696 + 3232804 = 2764^2 + 1798^2 .

It is a super-2 number, since 2×10872500² = 236422512500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872509) 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, 326 + ... + 4674.

It is an arithmetic number, because the mean of its divisors is an integer number (792715).

Almost surely, 2^10872500 is an apocalyptic number.

10872500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10872500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890725).

10872500 is an abundant number, since it is smaller than the sum of its proper divisors (12908950).

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

10872500 is an equidigital number, since it uses as much as digits as its factorization.

10872500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10872500 is about 3297.3474187595. The cubic root of 10872500 is about 221.5354025896.

The spelling of 10872500 in words is "ten million, eight hundred seventy-two thousand, five hundred".