472872177 has 12 divisors (see below), whose sum is σ = 683489664. Its totient is φ = 315039480.

The previous prime is 472872167. The next prime is 472872199. The reversal of 472872177 is 771278274.

472872177 is a `hidden beast` number, since 472 + 8 + 7 + 2 + 177 = 666.

It is not a de Polignac number, because 472872177 - 2⁸ = 472871921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472872137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2349 + ... + 30842.

It is an arithmetic number, because the mean of its divisors is an integer number (56957472).

Almost surely, 2^472872177 is an apocalyptic number.

It is an amenable number.

472872177 is a deficient number, since it is larger than the sum of its proper divisors (210617487).

472872177 is a wasteful number, since it uses less digits than its factorization.

472872177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34780 (or 34777 counting only the distinct ones).

The product of its digits is 307328, while the sum is 45.

The square root of 472872177 is about 21745.6243184692. The cubic root of 472872177 is about 779.0785618065.

The spelling of 472872177 in words is "four hundred seventy-two million, eight hundred seventy-two thousand, one hundred seventy-seven".