12972500 has 30 divisors (see below), whose sum is σ = 28373730. Its totient is φ = 5188000.

The previous prime is 12972461. The next prime is 12972521. The reversal of 12972500 is 527921.

It can be written as a sum of positive squares in 5 ways, for example, as 3225616 + 9746884 = 1796^2 + 3122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12972500.

It is a congruent number.

It is an unprimeable number.

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, 95 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (945791).

Almost surely, 2^12972500 is an apocalyptic number.

12972500 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 12972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186865).

12972500 is an abundant number, since it is smaller than the sum of its proper divisors (15401230).

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

12972500 is an equidigital number, since it uses as much as digits as its factorization.

12972500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 12972500 is about 3601.7356926904. The cubic root of 12972500 is about 234.9675524840.

The spelling of 12972500 in words is "twelve million, nine hundred seventy-two thousand, five hundred".