165972264 has 64 divisors (see below), whose sum is σ = 438842880. Its totient is φ = 52224000.

The previous prime is 165972259. The next prime is 165972281. The reversal of 165972264 is 462279561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27784 + ... + 33224.

It is an arithmetic number, because the mean of its divisors is an integer number (6856920).

Almost surely, 2^165972264 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 165972264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219421440).

165972264 is an abundant number, since it is smaller than the sum of its proper divisors (272870616).

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

165972264 is a wasteful number, since it uses less digits than its factorization.

165972264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5518 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 165972264 is about 12883.0223162114. The cubic root of 165972264 is about 549.5558552077. Note that the first 3 decimals are identical.

The spelling of 165972264 in words is "one hundred sixty-five million, nine hundred seventy-two thousand, two hundred sixty-four".