12632872 has 64 divisors (see below), whose sum is σ = 29491200. Its totient is φ = 4950720.

The previous prime is 12632861. The next prime is 12632881. The reversal of 12632872 is 27823621.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32793 + ... + 33175.

It is an arithmetic number, because the mean of its divisors is an integer number (460800).

Almost surely, 2^12632872 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 12632872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745600).

12632872 is an abundant number, since it is smaller than the sum of its proper divisors (16858328).

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

12632872 is a wasteful number, since it uses less digits than its factorization.

12632872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 12632872 is about 3554.2751722398. The cubic root of 12632872 is about 232.8988613466.

The spelling of 12632872 in words is "twelve million, six hundred thirty-two thousand, eight hundred seventy-two".