13729800 has 144 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 3131520.

The previous prime is 13729783. The next prime is 13729801. The reversal of 13729800 is 892731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13729801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29167 + ... + 29633.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 2^13729800 is an apocalyptic number.

13729800 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 13729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

13729800 is an abundant number, since it is smaller than the sum of its proper divisors (35887560).

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

13729800 is a wasteful number, since it uses less digits than its factorization.

13729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13729800 is about 3705.3744750025. The cubic root of 13729800 is about 239.4536181671.

The spelling of 13729800 in words is "thirteen million, seven hundred twenty-nine thousand, eight hundred".