180222730272 has 288 divisors, whose sum is σ = 581327228160. Its totient is φ = 54271226880.

The previous prime is 180222730267. The next prime is 180222730279. The reversal of 180222730272 is 272037222081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (180222730279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6849622 + ... + 6875882.

It is an arithmetic number, because the mean of its divisors is an integer number (2018497320).

Almost surely, 2^180222730272 is an apocalyptic number.

180222730272 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 180222730272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290663614080).

180222730272 is an abundant number, since it is smaller than the sum of its proper divisors (401104497888).

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

180222730272 is a wasteful number, since it uses less digits than its factorization.

180222730272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26353 (or 26326 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 180222730272 in words is "one hundred eighty billion, two hundred twenty-two million, seven hundred thirty thousand, two hundred seventy-two".