165006720 has 192 divisors, whose sum is σ = 591449040. Its totient is φ = 43960320.

The previous prime is 165006719. The next prime is 165006731. The reversal of 165006720 is 27600561.

165006720 is a `hidden beast` number, since 1 + 650 + 0 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 154990 + ... + 156050.

Almost surely, 2^165006720 is an apocalyptic number.

165006720 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 165006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295724520).

165006720 is an abundant number, since it is smaller than the sum of its proper divisors (426442320).

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

165006720 is an equidigital number, since it uses as much as digits as its factorization.

165006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1071 counting only the distinct ones).

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

The square root of 165006720 is about 12845.4941516471. The cubic root of 165006720 is about 548.4881011826.

It can be divided in two parts, 16500 and 6720, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 165006720 in words is "one hundred sixty-five million, six thousand, seven hundred twenty".