180723312 has 200 divisors, whose sum is σ = 652493952. Its totient is φ = 46915200.

The previous prime is 180723299. The next prime is 180723317. The reversal of 180723312 is 213327081.

180723312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180723317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98887 + ... + 100697.

Almost surely, 2^180723312 is an apocalyptic number.

180723312 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 180723312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326246976).

180723312 is an abundant number, since it is smaller than the sum of its proper divisors (471770640).

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

180723312 is a wasteful number, since it uses less digits than its factorization.

180723312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 180723312 is about 13443.3370857090. The cubic root of 180723312 is about 565.3768983921.

The spelling of 180723312 in words is "one hundred eighty million, seven hundred twenty-three thousand, three hundred twelve".