172381824 has 128 divisors (see below), whose sum is σ = 525504000. Its totient is φ = 55572480.

The previous prime is 172381801. The next prime is 172381841. The reversal of 172381824 is 428183271.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106332 + ... + 107940.

It is an arithmetic number, because the mean of its divisors is an integer number (4105500).

Almost surely, 2^172381824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262752000).

172381824 is an abundant number, since it is smaller than the sum of its proper divisors (353122176).

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

172381824 is a wasteful number, since it uses less digits than its factorization.

172381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1645 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 172381824 is about 13129.4258823454. The cubic root of 172381824 is about 556.5409913064.

The spelling of 172381824 in words is "one hundred seventy-two million, three hundred eighty-one thousand, eight hundred twenty-four".