12872160 has 144 divisors (see below), whose sum is σ = 50240736. Its totient is φ = 2939904.

The previous prime is 12872149. The next prime is 12872173. The reversal of 12872160 is 6127821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9442 + ... + 10718.

It is an arithmetic number, because the mean of its divisors is an integer number (348894).

Almost surely, 2^12872160 is an apocalyptic number.

12872160 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 12872160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25120368).

12872160 is an abundant number, since it is smaller than the sum of its proper divisors (37368576).

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

12872160 is a wasteful number, since it uses less digits than its factorization.

12872160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12872160 is about 3587.7792574237. The cubic root of 12872160 is about 234.3601729287.

Adding to 12872160 its reverse (6127821), we get a palindrome (18999981).

The spelling of 12872160 in words is "twelve million, eight hundred seventy-two thousand, one hundred sixty".