164001072 has 40 divisors (see below), whose sum is σ = 424129600. Its totient is φ = 54607680.

The previous prime is 164001049. The next prime is 164001151. The reversal of 164001072 is 270100461.

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, 80547 + ... + 82557.

It is an arithmetic number, because the mean of its divisors is an integer number (10603240).

Almost surely, 2^164001072 is an apocalyptic number.

164001072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164001072 is an abundant number, since it is smaller than the sum of its proper divisors (260128528).

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

164001072 is a wasteful number, since it uses less digits than its factorization.

164001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 164001072 is about 12806.2903293655. The cubic root of 164001072 is about 547.3715601216.

The spelling of 164001072 in words is "one hundred sixty-four million, one thousand, seventy-two".