13625472 has 128 divisors (see below), whose sum is σ = 42791040. Its totient is φ = 3760128.

The previous prime is 13625467. The next prime is 13625473. The reversal of 13625472 is 27452631.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13625473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99388 + ... + 99524.

It is an arithmetic number, because the mean of its divisors is an integer number (334305).

Almost surely, 2^13625472 is an apocalyptic number.

13625472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395520).

13625472 is an abundant number, since it is smaller than the sum of its proper divisors (29165568).

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

13625472 is a wasteful number, since it uses less digits than its factorization.

13625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 13625472 is about 3691.2697002522. The cubic root of 13625472 is about 238.8455670335.

The spelling of 13625472 in words is "thirteen million, six hundred twenty-five thousand, four hundred seventy-two".