180972792 has 448 divisors, whose sum is σ = 705116160. Its totient is φ = 41990400.

The previous prime is 180972791. The next prime is 180972797. The reversal of 180972792 is 297279081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180972791) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837817 + ... + 5837847.

It is an arithmetic number, because the mean of its divisors is an integer number (1573920).

Almost surely, 2^180972792 is an apocalyptic number.

180972792 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 180972792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352558080).

180972792 is an abundant number, since it is smaller than the sum of its proper divisors (524143368).

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

180972792 is a wasteful number, since it uses less digits than its factorization.

180972792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 180972792 is about 13452.6128317141. The cubic root of 180972792 is about 565.6369374769.

The spelling of 180972792 in words is "one hundred eighty million, nine hundred seventy-two thousand, seven hundred ninety-two".