172064016 has 30 divisors (see below), whose sum is σ = 481540670. Its totient is φ = 57354624.

The previous prime is 172063979. The next prime is 172064017. The reversal of 172064016 is 610460271.

172064016 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 640 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161798400 + 10265616 = 12720^2 + 3204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172064017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 597301 + ... + 597588.

Almost surely, 2^172064016 is an apocalyptic number.

172064016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

172064016 is an abundant number, since it is smaller than the sum of its proper divisors (309476654).

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

172064016 is a wasteful number, since it uses less digits than its factorization.

172064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194903 (or 1194894 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 172064016 is about 13117.3174086777. The cubic root of 172064016 is about 556.1987626753.

The spelling of 172064016 in words is "one hundred seventy-two million, sixty-four thousand, sixteen".