12972652 has 54 divisors (see below), whose sum is σ = 29080716. Its totient is φ = 5045040.

The previous prime is 12972637. The next prime is 12972671. The reversal of 12972652 is 25627921.

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 17 ways as a sum of consecutive naturals, for example, 23443 + ... + 23989.

Almost surely, 2^12972652 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 12972652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14540358).

12972652 is an abundant number, since it is smaller than the sum of its proper divisors (16108064).

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

12972652 is a wasteful number, since it uses less digits than its factorization.

12972652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 567 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 12972652 is about 3601.7567935662. The cubic root of 12972652 is about 234.9684701927.

The spelling of 12972652 in words is "twelve million, nine hundred seventy-two thousand, six hundred fifty-two".