180005472 has 72 divisors (see below), whose sum is σ = 513611280. Its totient is φ = 59800320.

The previous prime is 180005393. The next prime is 180005473. The reversal of 180005472 is 274500081.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180005473) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102522 + ... + 104262.

It is an arithmetic number, because the mean of its divisors is an integer number (7133490).

Almost surely, 2^180005472 is an apocalyptic number.

180005472 is a gapful number since it is divisible by the number (12) 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 180005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256805640).

180005472 is an abundant number, since it is smaller than the sum of its proper divisors (333605808).

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

180005472 is a wasteful number, since it uses less digits than its factorization.

180005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180005472 is about 13416.6117928484. The cubic root of 180005472 is about 564.6273387697.

The spelling of 180005472 in words is "one hundred eighty million, five thousand, four hundred seventy-two".