172016 has 20 divisors (see below), whose sum is σ = 359352. Its totient is φ = 79296.

The previous prime is 172009. The next prime is 172021. The reversal of 172016 is 610271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 171985 and 172003.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 206 + ... + 621.

2¹⁷²⁰¹⁶ is an apocalyptic number.

172016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

172016 is an abundant number, since it is smaller than the sum of its proper divisors (187336).

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

172016 is a wasteful number, since it uses less digits than its factorization.

172016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 172016 is about 414.7481163309. The cubic root of 172016 is about 55.6147020452.

Adding to 172016 its reverse (610271), we get a palindrome (782287).

The spelling of 172016 in words is "one hundred seventy-two thousand, sixteen".