14772672 has 112 divisors (see below), whose sum is σ = 44378880. Its totient is φ = 4817664.

The previous prime is 14772649. The next prime is 14772679. The reversal of 14772672 is 27627741.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14772679) 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, 143373 + ... + 143475.

It is an arithmetic number, because the mean of its divisors is an integer number (396240).

Almost surely, 2^14772672 is an apocalyptic number.

14772672 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 14772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189440).

14772672 is an abundant number, since it is smaller than the sum of its proper divisors (29606208).

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

14772672 is a wasteful number, since it uses less digits than its factorization.

14772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 14772672 is about 3843.5233835636. The cubic root of 14772672 is about 245.3689955509.

The spelling of 14772672 in words is "fourteen million, seven hundred seventy-two thousand, six hundred seventy-two".