13732700 has 36 divisors (see below), whose sum is σ = 30154320. Its totient is φ = 5427840.

The previous prime is 13732699. The next prime is 13732703. The reversal of 13732700 is 723731.

13732700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13732703) 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, 8129 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (837620).

Almost surely, 2^13732700 is an apocalyptic number.

13732700 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 13732700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077160).

13732700 is an abundant number, since it is smaller than the sum of its proper divisors (16421620).

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

13732700 is a wasteful number, since it uses less digits than its factorization.

13732700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 13732700 is about 3705.7657778117. The cubic root of 13732700 is about 239.4704760628.

The spelling of 13732700 in words is "thirteen million, seven hundred thirty-two thousand, seven hundred".