13972800 has 168 divisors, whose sum is σ = 47621952. Its totient is φ = 3584000.

The previous prime is 13972787. The next prime is 13972811. The reversal of 13972800 is 827931.

It is a happy number.

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

It is a congruent number.

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, 196765 + ... + 196835.

It is an arithmetic number, because the mean of its divisors is an integer number (283464).

Almost surely, 2^13972800 is an apocalyptic number.

13972800 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 13972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976).

13972800 is an abundant number, since it is smaller than the sum of its proper divisors (33649152).

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

13972800 is a wasteful number, since it uses less digits than its factorization.

13972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

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

The square root of 13972800 is about 3738.0208667154. The cubic root of 13972800 is about 240.8580398206.

The spelling of 13972800 in words is "thirteen million, nine hundred seventy-two thousand, eight hundred".