13972224 has 144 divisors (see below), whose sum is σ = 44739072. Its totient is φ = 3784704.

The previous prime is 13972193. The next prime is 13972237. The reversal of 13972224 is 42227931.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13972191 and 13972200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123592 + ... + 123704.

It is an arithmetic number, because the mean of its divisors is an integer number (310688).

Almost surely, 2^13972224 is an apocalyptic number.

13972224 is a gapful number since it is divisible by the number (14) 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 13972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22369536).

13972224 is an abundant number, since it is smaller than the sum of its proper divisors (30766848).

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

13972224 is a wasteful number, since it uses less digits than its factorization.

13972224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 13972224 is about 3737.9438198025. The cubic root of 13972224 is about 240.8547301490.

It can be divided in two parts, 13972 and 224, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 13972224 in words is "thirteen million, nine hundred seventy-two thousand, two hundred twenty-four".