14772368 has 80 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 6289920.

The previous prime is 14772347. The next prime is 14772379. The reversal of 14772368 is 86327741.

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, 186953 + ... + 187031.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^14772368 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 14772368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

14772368 is an abundant number, since it is smaller than the sum of its proper divisors (18558832).

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

14772368 is a wasteful number, since it uses less digits than its factorization.

14772368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 14772368 is about 3843.4838363131. The cubic root of 14772368 is about 245.3673124276.

Subtracting from 14772368 its sum of digits (38), we obtain a triangular number (14772330 = T₅₄₃₅).

The spelling of 14772368 in words is "fourteen million, seven hundred seventy-two thousand, three hundred sixty-eight".