172416 has 32 divisors (see below), whose sum is σ = 459000. Its totient is φ = 57344.

The previous prime is 172411. The next prime is 172421. The reversal of 172416 is 614271.

It is an interprime number because it is at equal distance from previous prime (172411) and next prime (172421).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 172392 and 172401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160 + ... + 608.

2¹⁷²⁴¹⁶ is an apocalyptic number.

172416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229500).

172416 is an abundant number, since it is smaller than the sum of its proper divisors (286584).

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

172416 is an equidigital number, since it uses as much as digits as its factorization.

172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

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

The square root of 172416 is about 415.2300567156. The cubic root of 172416 is about 55.6577768363.

Adding to 172416 its reverse (614271), we get a palindrome (786687).

The spelling of 172416 in words is "one hundred seventy-two thousand, four hundred sixteen".