13505772 has 72 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 3804192.

The previous prime is 13505771. The next prime is 13505773. The reversal of 13505772 is 27750531.

13505772 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 (13505771) and next prime (13505773).

It is not an unprimeable number, because it can be changed into a prime (13505771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60453 + ... + 60675.

Almost surely, 2^13505772 is an apocalyptic number.

13505772 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 13505772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

13505772 is an abundant number, since it is smaller than the sum of its proper divisors (23674644).

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

13505772 is a wasteful number, since it uses less digits than its factorization.

13505772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 13505772 is about 3675.0199999456. The cubic root of 13505772 is about 238.1440880669.

The spelling of 13505772 in words is "thirteen million, five hundred five thousand, seven hundred seventy-two".