15165216 has 72 divisors (see below), whose sum is σ = 47056464. Its totient is φ = 4594560.

The previous prime is 15165191. The next prime is 15165223. The reversal of 15165216 is 61256151.

It is a happy number.

15165216 is a `hidden beast` number, since 1 + 5 + 1 + 652 + 1 + 6 = 666.

15165216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 15165216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^15165216 is an apocalyptic number.

15165216 is a gapful number since it is divisible by the number (16) 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 15165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

15165216 is an abundant number, since it is smaller than the sum of its proper divisors (31891248).

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

15165216 is a wasteful number, since it uses less digits than its factorization.

15165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4803 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 15165216 is about 3894.2542289892. The cubic root of 15165216 is about 247.5233647976.

The spelling of 15165216 in words is "fifteen million, one hundred sixty-five thousand, two hundred sixteen".