14917672 has 64 divisors (see below), whose sum is σ = 35533440. Its totient is φ = 5702400.

The previous prime is 14917667. The next prime is 14917691. The reversal of 14917672 is 27671941.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct 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, 37378 + ... + 37774.

It is an arithmetic number, because the mean of its divisors is an integer number (555210).

Almost surely, 2^14917672 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 14917672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766720).

14917672 is an abundant number, since it is smaller than the sum of its proper divisors (20615768).

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

14917672 is a wasteful number, since it uses less digits than its factorization.

14917672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 14917672 is about 3862.3402232325. The cubic root of 14917672 is about 246.1691831990.

The spelling of 14917672 in words is "fourteen million, nine hundred seventeen thousand, six hundred seventy-two".