12972032 has 26 divisors (see below), whose sum is σ = 25949088. Its totient is φ = 6483968.

The previous prime is 12972007. The next prime is 12972067. The reversal of 12972032 is 23027921.

It is a super-2 number, since 2×12972032² = 336547228418048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12971992 and 12972010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2513 + ... + 5679.

Almost surely, 2^12972032 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 12972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974544).

12972032 is an abundant number, since it is smaller than the sum of its proper divisors (12977056).

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

12972032 is an frugal number, since it uses more digits than its factorization.

12972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 12972032 is about 3601.6707234282. The cubic root of 12972032 is about 234.9647268622.

Adding to 12972032 its reverse (23027921), we get a palindrome (35999953).

The spelling of 12972032 in words is "twelve million, nine hundred seventy-two thousand, thirty-two".