13729300 has 72 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 4955520.

The previous prime is 13729297. The next prime is 13729337. The reversal of 13729300 is 392731.

13729300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76611 + ... + 76789.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^13729300 is an apocalyptic number.

13729300 is a gapful number since it is divisible by the number (10) 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 13729300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

13729300 is an abundant number, since it is smaller than the sum of its proper divisors (19081100).

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

13729300 is a wasteful number, since it uses less digits than its factorization.

13729300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 13729300 is about 3705.3070048243. The cubic root of 13729300 is about 239.4507113935.

The spelling of 13729300 in words is "thirteen million, seven hundred twenty-nine thousand, three hundred".