165495672 has 144 divisors (see below), whose sum is σ = 487272240. Its totient is φ = 50637312.

The previous prime is 165495653. The next prime is 165495679. The reversal of 165495672 is 276594561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165495679) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2267028 + ... + 2267100.

It is an arithmetic number, because the mean of its divisors is an integer number (3383835).

Almost surely, 2^165495672 is an apocalyptic number.

165495672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165495672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243636120).

165495672 is an abundant number, since it is smaller than the sum of its proper divisors (321776568).

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

165495672 is a wasteful number, since it uses less digits than its factorization.

165495672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 138 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 165495672 is about 12864.5121166720. The cubic root of 165495672 is about 549.0293314477.

The spelling of 165495672 in words is "one hundred sixty-five million, four hundred ninety-five thousand, six hundred seventy-two".