14772864 has 128 divisors (see below), whose sum is σ = 43476480. Its totient is φ = 4423680.

The previous prime is 14772827. The next prime is 14772871. The reversal of 14772864 is 46827741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×14772864⁴ (a number of 30 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202332 + ... + 202404.

It is an arithmetic number, because the mean of its divisors is an integer number (339660).

Almost surely, 2^14772864 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 14772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21738240).

14772864 is an abundant number, since it is smaller than the sum of its proper divisors (28703616).

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

14772864 is a wasteful number, since it uses less digits than its factorization.

14772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 14772864 is about 3843.5483605648. The cubic root of 14772864 is about 245.3700585643.

The spelling of 14772864 in words is "fourteen million, seven hundred seventy-two thousand, eight hundred sixty-four".