14556672 has 160 divisors (see below), whose sum is σ = 46976160. Its totient is φ = 4478976.

The previous prime is 14556667. The next prime is 14556673. The reversal of 14556672 is 27665541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (50400) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14556673) 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, 1119738 + ... + 1119750.

It is an arithmetic number, because the mean of its divisors is an integer number (293601).

Almost surely, 2^14556672 is an apocalyptic number.

14556672 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 14556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488080).

14556672 is an abundant number, since it is smaller than the sum of its proper divisors (32419488).

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

14556672 is an frugal number, since it uses more digits than its factorization.

14556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 18 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 14556672 is about 3815.3206942536. The cubic root of 14556672 is about 244.1672238970.

The spelling of 14556672 in words is "fourteen million, five hundred fifty-six thousand, six hundred seventy-two".