12733952 has 160 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4423680.

The previous prime is 12733949. The next prime is 12733961. The reversal of 12733952 is 25933721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670199 + ... + 670217.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^12733952 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 12733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

12733952 is an abundant number, since it is smaller than the sum of its proper divisors (22620928).

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

12733952 is a wasteful number, since it uses less digits than its factorization.

12733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 12733952 is about 3568.4663372379. The cubic root of 12733952 is about 233.5183801924.

It can be divided in two parts, 1273 and 3952, that added together give a palindrome (5225).

The spelling of 12733952 in words is "twelve million, seven hundred thirty-three thousand, nine hundred fifty-two".