165072132 has 36 divisors (see below), whose sum is σ = 419467776. Its totient is φ = 54733680.

The previous prime is 165072113. The next prime is 165072139. The reversal of 165072132 is 231270561.

It is a happy number.

165072132 is a `hidden beast` number, since 1 + 650 + 7 + 2 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 165072096 and 165072105.

It is not an unprimeable number, because it can be changed into a prime (165072139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5128 + ... + 18879.

Almost surely, 2^165072132 is an apocalyptic number.

165072132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165072132 is an abundant number, since it is smaller than the sum of its proper divisors (254395644).

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

165072132 is a wasteful number, since it uses less digits than its factorization.

165072132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24208 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 165072132 is about 12848.0400061644. The cubic root of 165072132 is about 548.5605688652.

The spelling of 165072132 in words is "one hundred sixty-five million, seventy-two thousand, one hundred thirty-two".