14400972 has 36 divisors (see below), whose sum is σ = 38545416. Its totient is φ = 4517760.

The previous prime is 14400959. The next prime is 14400973. The reversal of 14400972 is 27900441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14400973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11154 + ... + 12377.

It is an arithmetic number, because the mean of its divisors is an integer number (1070706).

Almost surely, 2^14400972 is an apocalyptic number.

14400972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14400972 is an abundant number, since it is smaller than the sum of its proper divisors (24144444).

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

14400972 is a wasteful number, since it uses less digits than its factorization.

14400972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23558 (or 23553 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14400972 is about 3794.8612622861. The cubic root of 14400972 is about 243.2935536816.

The spelling of 14400972 in words is "fourteen million, four hundred thousand, nine hundred seventy-two".