165318720 has 224 divisors, whose sum is σ = 609892608. Its totient is φ = 37158912.

The previous prime is 165318709. The next prime is 165318721. The reversal of 165318720 is 27813561.

165318720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (165318721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490392 + ... + 490728.

Almost surely, 2^165318720 is an apocalyptic number.

165318720 is a gapful number since it is divisible by the number (10) 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 165318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304946304).

165318720 is an abundant number, since it is smaller than the sum of its proper divisors (444573888).

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

165318720 is a wasteful number, since it uses less digits than its factorization.

165318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 165318720 is about 12857.6327525715. The cubic root of 165318720 is about 548.8335831574.

The spelling of 165318720 in words is "one hundred sixty-five million, three hundred eighteen thousand, seven hundred twenty".