13625872 has 40 divisors (see below), whose sum is σ = 28739480. Its totient is φ = 6220800.

The previous prime is 13625851. The next prime is 13625893. The reversal of 13625872 is 27852631.

It is a happy number.

13625872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13625851) and next prime (13625893).

It can be written as a sum of positive squares in 4 ways, for example, as 2972176 + 10653696 = 1724^2 + 3264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22372 + ... + 22972.

It is an arithmetic number, because the mean of its divisors is an integer number (718487).

Almost surely, 2^13625872 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 13625872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369740).

13625872 is an abundant number, since it is smaller than the sum of its proper divisors (15113608).

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

13625872 is a wasteful number, since it uses less digits than its factorization.

13625872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 13625872 is about 3691.3238817530. The cubic root of 13625872 is about 238.8479042563.

The spelling of 13625872 in words is "thirteen million, six hundred twenty-five thousand, eight hundred seventy-two".