13927200 has 144 divisors (see below), whose sum is σ = 51871680. Its totient is φ = 3179520.

The previous prime is 13927187. The next prime is 13927211. The reversal of 13927200 is 272931.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16386 + ... + 17214.

It is an arithmetic number, because the mean of its divisors is an integer number (360220).

Almost surely, 2^13927200 is an apocalyptic number.

13927200 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 13927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25935840).

13927200 is an abundant number, since it is smaller than the sum of its proper divisors (37944480).

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

13927200 is a wasteful number, since it uses less digits than its factorization.

13927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13927200 is about 3731.9163977774. The cubic root of 13927200 is about 240.5957422120.

The spelling of 13927200 in words is "thirteen million, nine hundred twenty-seven thousand, two hundred".