13729248 has 144 divisors (see below), whose sum is σ = 44488080. Its totient is φ = 3981312.

The previous prime is 13729223. The next prime is 13729291. The reversal of 13729248 is 84292731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71040 + ... + 71232.

It is an arithmetic number, because the mean of its divisors is an integer number (308945).

Almost surely, 2^13729248 is an apocalyptic number.

13729248 is a gapful number since it is divisible by the number (18) 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 13729248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22244040).

13729248 is an abundant number, since it is smaller than the sum of its proper divisors (30758832).

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

13729248 is a wasteful number, since it uses less digits than its factorization.

13729248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13729248 is about 3705.2999878552. The cubic root of 13729248 is about 239.4504090849.

The spelling of 13729248 in words is "thirteen million, seven hundred twenty-nine thousand, two hundred forty-eight".