180742176 has 72 divisors (see below), whose sum is σ = 516117420. Its totient is φ = 59997696.

The previous prime is 180742171. The next prime is 180742217. The reversal of 180742176 is 671247081.

It can be written as a sum of positive squares in 2 ways, for example, as 160275600 + 20466576 = 12660^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 180742176.

It is not an unprimeable number, because it can be changed into a prime (180742171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76306 + ... + 78638.

Almost surely, 2^180742176 is an apocalyptic number.

180742176 is a gapful number since it is divisible by the number (16) 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 180742176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258058710).

180742176 is an abundant number, since it is smaller than the sum of its proper divisors (335375244).

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

180742176 is a wasteful number, since it uses less digits than its factorization.

180742176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 180742176 is about 13444.0386789090. The cubic root of 180742176 is about 565.3965691596.

The spelling of 180742176 in words is "one hundred eighty million, seven hundred forty-two thousand, one hundred seventy-six".