14772 has 12 divisors (see below), whose sum is σ = 34496. Its totient is φ = 4920.

The previous prime is 14771. The next prime is 14779. The reversal of 14772 is 27741.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 14.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14772.

It is not an unprimeable number, because it can be changed into a prime (14771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604 + ... + 627.

2¹⁴⁷⁷² is an apocalyptic number.

14772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14772 is an abundant number, since it is smaller than the sum of its proper divisors (19724).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248).

14772 is a wasteful number, since it uses less digits than its factorization.

14772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its digits is 392, while the sum is 21.

The square root of 14772 is about 121.5401168339. The cubic root of 14772 is about 24.5365274932.

The spelling of 14772 in words is "fourteen thousand, seven hundred seventy-two", and thus it is an iban number.