14372864 has 78 divisors (see below), whose sum is σ = 32682090. Its totient is φ = 6307840.

The previous prime is 14372863. The next prime is 14372887. The reversal of 14372864 is 46827341.

It can be written as a sum of positive squares in only one way, i.e., 12390400 + 1982464 = 3520^2 + 1408^2 .

Its product of digits (32256) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14372863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495602 + ... + 495630.

Almost surely, 2^14372864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341045).

14372864 is an abundant number, since it is smaller than the sum of its proper divisors (18309226).

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

14372864 is an equidigital number, since it uses as much as digits as its factorization.

14372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 14372864 is about 3791.1560242227. The cubic root of 14372864 is about 243.1351627713.

The spelling of 14372864 in words is "fourteen million, three hundred seventy-two thousand, eight hundred sixty-four".