172081824 has 96 divisors (see below), whose sum is σ = 472288320. Its totient is φ = 54792192.

The previous prime is 172081807. The next prime is 172081859. The reversal of 172081824 is 428180271.

It is a happy number.

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

It is a super-2 number, since 2×172081824² = 59224308302333952, which contains 22 as substring.

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, 314319 + ... + 314865.

It is an arithmetic number, because the mean of its divisors is an integer number (4919670).

Almost surely, 2^172081824 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 172081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236144160).

172081824 is an abundant number, since it is smaller than the sum of its proper divisors (300206496).

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

172081824 is a wasteful number, since it uses less digits than its factorization.

172081824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 172081824 is about 13117.9961884428. The cubic root of 172081824 is about 556.2179501965.

The spelling of 172081824 in words is "one hundred seventy-two million, eighty-one thousand, eight hundred twenty-four".