165072042 has 24 divisors (see below), whose sum is σ = 359161920. Its totient is φ = 54792360.

The previous prime is 165071999. The next prime is 165072071. The reversal of 165072042 is 240270561.

165072042 is a `hidden beast` number, since 1 + 650 + 7 + 2 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165071997 and 165072015.

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, 14884 + ... + 23487.

It is an arithmetic number, because the mean of its divisors is an integer number (14965080).

Almost surely, 2^165072042 is an apocalyptic number.

165072042 is an abundant number, since it is smaller than the sum of its proper divisors (194089878).

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

165072042 is a wasteful number, since it uses less digits than its factorization.

165072042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38618 (or 38615 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 165072042 is about 12848.0365036841. The cubic root of 165072042 is about 548.5604691705.

The spelling of 165072042 in words is "one hundred sixty-five million, seventy-two thousand, forty-two".