12972025 has 24 divisors (see below), whose sum is σ = 17972064. Its totient is φ = 9206400.

The previous prime is 12972007. The next prime is 12972067. The reversal of 12972025 is 52027921.

12972025 = 83² + 84² + ... + 340².

It is not a de Polignac number, because 12972025 - 2⁵ = 12971993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12971984 and 12972002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11277 + ... + 12373.

It is an arithmetic number, because the mean of its divisors is an integer number (748836).

Almost surely, 2^12972025 is an apocalyptic number.

It is an amenable number.

12972025 is a deficient number, since it is larger than the sum of its proper divisors (5000039).

12972025 is a wasteful number, since it uses less digits than its factorization.

12972025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12972025 is about 3601.6697516569. The cubic root of 12972025 is about 234.9646845981.

Adding to 12972025 its reverse (52027921), we get a palindrome (64999946).

The spelling of 12972025 in words is "twelve million, nine hundred seventy-two thousand, twenty-five".