13504752 has 80 divisors (see below), whose sum is σ = 39719680. Its totient is φ = 4390848.

The previous prime is 13504739. The next prime is 13504753. The reversal of 13504752 is 25740531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13504753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18213 + ... + 18939.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 2^13504752 is an apocalyptic number.

13504752 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 13504752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19859840).

13504752 is an abundant number, since it is smaller than the sum of its proper divisors (26214928).

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

13504752 is a wasteful number, since it uses less digits than its factorization.

13504752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 13504752 is about 3674.8812225703. The cubic root of 13504752 is about 238.1380927763.

The spelling of 13504752 in words is "thirteen million, five hundred four thousand, seven hundred fifty-two".