180747072 has 224 divisors, whose sum is σ = 597651840. Its totient is φ = 53084160.

The previous prime is 180747067. The next prime is 180747079. The reversal of 180747072 is 270747081.

180747072 is a `hidden beast` number, since 180 + 7 + 470 + 7 + 2 = 666.

180747072 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180747079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703168 + ... + 703424.

Almost surely, 2^180747072 is an apocalyptic number.

180747072 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 180747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298825920).

180747072 is an abundant number, since it is smaller than the sum of its proper divisors (416904768).

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

180747072 is a wasteful number, since it uses less digits than its factorization.

180747072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 180747072 is about 13444.2207658161. The cubic root of 180747072 is about 565.4016743259.

Subtracting 180747072 from its reverse (270747081), we obtain a palindrome (90000009).

The spelling of 180747072 in words is "one hundred eighty million, seven hundred forty-seven thousand, seventy-two".