180768672 has 240 divisors, whose sum is σ = 624964032. Its totient is φ = 50388480.

The previous prime is 180768671. The next prime is 180768691. The reversal of 180768672 is 276867081.

It is not an unprimeable number, because it can be changed into a prime (180768671) 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 39 ways as a sum of consecutive naturals, for example, 4408972 + ... + 4409012.

Almost surely, 2^180768672 is an apocalyptic number.

180768672 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 180768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312482016).

180768672 is an abundant number, since it is smaller than the sum of its proper divisors (444195360).

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

180768672 is an frugal number, since it uses more digits than its factorization.

180768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 180768672 is about 13445.0240609677. The cubic root of 180768672 is about 565.4241960180.

The spelling of 180768672 in words is "one hundred eighty million, seven hundred sixty-eight thousand, six hundred seventy-two".