14121972 has 48 divisors (see below), whose sum is σ = 36836800. Its totient is φ = 4678560.

The previous prime is 14121953. The next prime is 14121979. The reversal of 14121972 is 27912141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24447 + ... + 25017.

Almost surely, 2^14121972 is an apocalyptic number.

14121972 is a gapful number since it is divisible by the number (12) 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 14121972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18418400).

14121972 is an abundant number, since it is smaller than the sum of its proper divisors (22714828).

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

14121972 is a wasteful number, since it uses less digits than its factorization.

14121972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 14121972 is about 3757.9212338739. The cubic root of 14121972 is about 241.7121318080.

The spelling of 14121972 in words is "fourteen million, one hundred twenty-one thousand, nine hundred seventy-two".