12952072 has 96 divisors (see below), whose sum is σ = 31190400. Its totient is φ = 5007744.

The previous prime is 12952057. The next prime is 12952099. The reversal of 12952072 is 27025921.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12952072.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275553 + ... + 275599.

It is an arithmetic number, because the mean of its divisors is an integer number (324900).

Almost surely, 2^12952072 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 12952072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595200).

12952072 is an abundant number, since it is smaller than the sum of its proper divisors (18238328).

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

12952072 is a wasteful number, since it uses less digits than its factorization.

12952072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

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

The square root of 12952072 is about 3598.8987204421. The cubic root of 12952072 is about 234.8441519862.

Adding to 12952072 its reverse (27025921), we get a palindrome (39977993).

The spelling of 12952072 in words is "twelve million, nine hundred fifty-two thousand, seventy-two".