13972000 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 4780800.

The previous prime is 13971959. The next prime is 13972003. The reversal of 13972000 is 27931.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13972003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27751 + ... + 28249.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 2^13972000 is an apocalyptic number.

13972000 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 13972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13972000 is an abundant number, since it is smaller than the sum of its proper divisors (25340000).

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

13972000 is an equidigital number, since it uses as much as digits as its factorization.

13972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 13972000 is about 3737.9138566853. The cubic root of 13972000 is about 240.8534430300.

Adding to 13972000 its reverse (27931), we get a palindrome (13999931).

The spelling of 13972000 in words is "thirteen million, nine hundred seventy-two thousand".