56172160 has 128 divisors (see below), whose sum is σ = 149817600. Its totient is φ = 19968000.

The previous prime is 56172157. The next prime is 56172203. The reversal of 56172160 is 6127165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556110 + ... + 556210.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^56172160 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 56172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74908800).

56172160 is an abundant number, since it is smaller than the sum of its proper divisors (93645440).

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

56172160 is a wasteful number, since it uses less digits than its factorization.

56172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 56172160 is about 7494.8088701447. The cubic root of 56172160 is about 382.9778952718.

It can be divided in two parts, 5617 and 2160, that added together give a palindrome (7777).

The spelling of 56172160 in words is "fifty-six million, one hundred seventy-two thousand, one hundred sixty".