165417472 has 80 divisors (see below), whose sum is σ = 376529472. Its totient is φ = 71864320.

The previous prime is 165417407. The next prime is 165417509. The reversal of 165417472 is 274714561.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128898 + ... + 130174.

Almost surely, 2^165417472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188264736).

165417472 is an abundant number, since it is smaller than the sum of its proper divisors (211112000).

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

165417472 is a wasteful number, since it uses less digits than its factorization.

165417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1313 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 165417472 is about 12861.4723884943. The cubic root of 165417472 is about 548.9428420602.

The spelling of 165417472 in words is "one hundred sixty-five million, four hundred seventeen thousand, four hundred seventy-two".