13743200 has 72 divisors (see below), whose sum is σ = 34450920. Its totient is φ = 5350400.

The previous prime is 13743193. The next prime is 13743209. The reversal of 13743200 is 234731.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13743209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32591 + ... + 33009.

It is an arithmetic number, because the mean of its divisors is an integer number (478485).

Almost surely, 2^13743200 is an apocalyptic number.

13743200 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 13743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225460).

13743200 is an abundant number, since it is smaller than the sum of its proper divisors (20707720).

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

13743200 is a wasteful number, since it uses less digits than its factorization.

13743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13743200 is about 3707.1822183432. The cubic root of 13743200 is about 239.5314934258.

Adding to 13743200 its reverse (234731), we get a palindrome (13977931).

The spelling of 13743200 in words is "thirteen million, seven hundred forty-three thousand, two hundred".