15968172 has 48 divisors (see below), whose sum is σ = 40989312. Its totient is φ = 4798080.

The previous prime is 15968171. The next prime is 15968209. The reversal of 15968172 is 27186951.

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 a self number, because there is not a number n which added to its sum of digits gives 15968172.

It is not an unprimeable number, because it can be changed into a prime (15968171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17643 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (853944).

Almost surely, 2^15968172 is an apocalyptic number.

15968172 is a gapful number since it is divisible by the number (12) 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 15968172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494656).

15968172 is an abundant number, since it is smaller than the sum of its proper divisors (25021140).

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

15968172 is a wasteful number, since it uses less digits than its factorization.

15968172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 15968172 is about 3996.0195194718. The cubic root of 15968172 is about 251.8170125342.

The spelling of 15968172 in words is "fifteen million, nine hundred sixty-eight thousand, one hundred seventy-two".