13165072 has 40 divisors (see below), whose sum is σ = 27955800. Its totient is φ = 5978112.

The previous prime is 13165067. The next prime is 13165079. The reversal of 13165072 is 27056131.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 9339136 = 1956^2 + 3056^2 .

It is not an unprimeable number, because it can be changed into a prime (13165079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7054 + ... + 8722.

It is an arithmetic number, because the mean of its divisors is an integer number (698895).

Almost surely, 2^13165072 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 13165072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977900).

13165072 is an abundant number, since it is smaller than the sum of its proper divisors (14790728).

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

13165072 is a wasteful number, since it uses less digits than its factorization.

13165072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 13165072 is about 3628.3704331283. The cubic root of 13165072 is about 236.1245153523.

The spelling of 13165072 in words is "thirteen million, one hundred sixty-five thousand, seventy-two".