172468320 has 96 divisors (see below), whose sum is σ = 571898880. Its totient is φ = 43568640.

The previous prime is 172468319. The next prime is 172468327. The reversal of 172468320 is 23864271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172468327) 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 15 ways as a sum of consecutive naturals, for example, 336 + ... + 18575.

It is an arithmetic number, because the mean of its divisors is an integer number (5957280).

Almost surely, 2^172468320 is an apocalyptic number.

172468320 is a gapful number since it is divisible by the number (10) 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 172468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285949440).

172468320 is an abundant number, since it is smaller than the sum of its proper divisors (399430560).

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

172468320 is a wasteful number, since it uses less digits than its factorization.

172468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948 (or 18940 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 172468320 is about 13132.7194441974. The cubic root of 172468320 is about 556.6340609027.

The spelling of 172468320 in words is "one hundred seventy-two million, four hundred sixty-eight thousand, three hundred twenty".