4172160 has 128 divisors (see below), whose sum is σ = 13880160. Its totient is φ = 1064960.

The previous prime is 4172159. The next prime is 4172167. The reversal of 4172160 is 612714.

4172160 is digitally balanced in base 2, because in such base 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172167) by changing a digit.

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, 78694 + ... + 78746.

Almost surely, 2^4172160 is an apocalyptic number.

4172160 is a gapful number since it is divisible by the number (40) 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 4172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080).

4172160 is an abundant number, since it is smaller than the sum of its proper divisors (9708000).

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

4172160 is a wasteful number, since it uses less digits than its factorization.

4172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4172160 is about 2042.5865954715. The cubic root of 4172160 is about 160.9855831130.

Adding to 4172160 its reverse (612714), we get a palindrome (4784874).

The spelling of 4172160 in words is "four million, one hundred seventy-two thousand, one hundred sixty".