164072 has 8 divisors (see below), whose sum is σ = 307650. Its totient is φ = 82032.

The previous prime is 164071. The next prime is 164089. The reversal of 164072 is 270461.

It can be written as a sum of positive squares in only one way, i.e., 155236 + 8836 = 394^2 + 94^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (164071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10247 + ... + 10262.

2¹⁶⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

164072 is a deficient number, since it is larger than the sum of its proper divisors (143578).

164072 is a wasteful number, since it uses less digits than its factorization.

164072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20515 (or 20511 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 164072 is about 405.0580205353. The cubic root of 164072 is about 54.7450458741.

The spelling of 164072 in words is "one hundred sixty-four thousand, seventy-two".