180540072 has 48 divisors (see below), whose sum is σ = 490314240. Its totient is φ = 60013728.

The previous prime is 180540029. The next prime is 180540083. The reversal of 180540072 is 270045081.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24303 + ... + 30849.

It is an arithmetic number, because the mean of its divisors is an integer number (10214880).

Almost surely, 2^180540072 is an apocalyptic number.

180540072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180540072 is an abundant number, since it is smaller than the sum of its proper divisors (309774168).

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

180540072 is a wasteful number, since it uses less digits than its factorization.

180540072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180540072 is about 13436.5200852006. The cubic root of 180540072 is about 565.1857503962.

The spelling of 180540072 in words is "one hundred eighty million, five hundred forty thousand, seventy-two".