13721400 has 360 divisors, whose sum is σ = 59865960. Its totient is φ = 2851200.

The previous prime is 13721381. The next prime is 13721419. The reversal of 13721400 is 412731.

It is an interprime number because it is at equal distance from previous prime (13721381) and next prime (13721419).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 89 ways as a sum of consecutive naturals, for example, 1247395 + ... + 1247405.

Almost surely, 2^13721400 is an apocalyptic number.

13721400 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 13721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29932980).

13721400 is an abundant number, since it is smaller than the sum of its proper divisors (46144560).

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

13721400 is a wasteful number, since it uses less digits than its factorization.

13721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13721400 is about 3704.2408129062. The cubic root of 13721400 is about 239.4047750004.

It can be divided in two parts, 1372 and 1400, that added together give a palindrome (2772).

The spelling of 13721400 in words is "thirteen million, seven hundred twenty-one thousand, four hundred".