13065472 has 72 divisors (see below), whose sum is σ = 31199616. Its totient is φ = 5339136.

The previous prime is 13065463. The next prime is 13065473. The reversal of 13065472 is 27456031.

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 13065472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13065473) 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, 41058 + ... + 41374.

It is an arithmetic number, because the mean of its divisors is an integer number (433328).

Almost surely, 2^13065472 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 13065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599808).

13065472 is an abundant number, since it is smaller than the sum of its proper divisors (18134144).

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

13065472 is an equidigital number, since it uses as much as digits as its factorization.

13065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 13065472 is about 3614.6192053936. The cubic root of 13065472 is about 235.5275427838.

The spelling of 13065472 in words is "thirteen million, sixty-five thousand, four hundred seventy-two".