15172160 has 56 divisors (see below), whose sum is σ = 38267640. Its totient is φ = 5709824.

The previous prime is 15172153. The next prime is 15172169. The reversal of 15172160 is 6127151.

15172160 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 11235904 = 1984^2 + 3352^2 .

It is not an unprimeable number, because it can be changed into a prime (15172169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4046 + ... + 6834.

Almost surely, 2^15172160 is an apocalyptic number.

15172160 is a gapful number since it is divisible by the number (10) 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 15172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133820).

15172160 is an abundant number, since it is smaller than the sum of its proper divisors (23095480).

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

15172160 is a wasteful number, since it uses less digits than its factorization.

15172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 15172160 is about 3895.1456968899. The cubic root of 15172160 is about 247.5611385198.

The spelling of 15172160 in words is "fifteen million, one hundred seventy-two thousand, one hundred sixty".