164755072 has 64 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 78115840.

The previous prime is 164755067. The next prime is 164755091. The reversal of 164755072 is 270557461.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 562158 + ... + 562450.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^164755072 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 164755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

164755072 is an abundant number, since it is smaller than the sum of its proper divisors (180706688).

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

164755072 is a wasteful number, since it uses less digits than its factorization.

164755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 164755072 is about 12835.6952285414. The cubic root of 164755072 is about 548.2091304030.

The spelling of 164755072 in words is "one hundred sixty-four million, seven hundred fifty-five thousand, seventy-two".