180725160 has 128 divisors (see below), whose sum is σ = 675993600. Its totient is φ = 37551360.

The previous prime is 180725143. The next prime is 180725179. The reversal of 180725160 is 61527081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540 + ... + 19019.

It is an arithmetic number, because the mean of its divisors is an integer number (5281200).

Almost surely, 2^180725160 is an apocalyptic number.

180725160 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 180725160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337996800).

180725160 is an abundant number, since it is smaller than the sum of its proper divisors (495268440).

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

180725160 is a wasteful number, since it uses less digits than its factorization.

180725160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19591 (or 19587 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 180725160 is about 13443.4058184673. The cubic root of 180725160 is about 565.3788254870.

It can be divided in two parts, 18072 and 5160, that added together give a palindrome (23232).

The spelling of 180725160 in words is "one hundred eighty million, seven hundred twenty-five thousand, one hundred sixty".