164075072 has 28 divisors (see below), whose sum is σ = 372099840. Its totient is φ = 70317696.

The previous prime is 164075039. The next prime is 164075083. The reversal of 164075072 is 270570461.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182672 + ... + 183567.

It is an arithmetic number, because the mean of its divisors is an integer number (13289280).

Almost surely, 2^164075072 is an apocalyptic number.

It is an amenable number.

164075072 is an abundant number, since it is smaller than the sum of its proper divisors (208024768).

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

164075072 is an equidigital number, since it uses as much as digits as its factorization.

164075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366258 (or 366248 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 164075072 is about 12809.1792086769. The cubic root of 164075072 is about 547.4538754468.

The spelling of 164075072 in words is "one hundred sixty-four million, seventy-five thousand, seventy-two".