180072117 has 12 divisors (see below), whose sum is σ = 263768544. Its totient is φ = 118356840.

The previous prime is 180072103. The next prime is 180072121. The reversal of 180072117 is 711270081.

It is not a de Polignac number, because 180072117 - 2⁷ = 180071989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180072127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140263 + ... + 141540.

It is an arithmetic number, because the mean of its divisors is an integer number (21980712).

Almost surely, 2^180072117 is an apocalyptic number.

It is an amenable number.

180072117 is a deficient number, since it is larger than the sum of its proper divisors (83696427).

180072117 is a wasteful number, since it uses less digits than its factorization.

180072117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281880 (or 281877 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 180072117 is about 13419.0952377573. The cubic root of 180072117 is about 564.6970124775.

The spelling of 180072117 in words is "one hundred eighty million, seventy-two thousand, one hundred seventeen".