172120224 has 96 divisors (see below), whose sum is σ = 475735680. Its totient is φ = 54382592.

The previous prime is 172120217. The next prime is 172120231. The reversal of 172120224 is 422021271.

It is an interprime number because it is at equal distance from previous prime (172120217) and next prime (172120231).

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

It is a self number, because there is not a number n which added to its sum of digits gives 172120224.

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, 302212 + ... + 302780.

It is an arithmetic number, because the mean of its divisors is an integer number (4955580).

Almost surely, 2^172120224 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 172120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237867840).

172120224 is an abundant number, since it is smaller than the sum of its proper divisors (303615456).

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

172120224 is a wasteful number, since it uses less digits than its factorization.

172120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 172120224 is about 13119.4597449743. The cubic root of 172120224 is about 556.2593204010.

Adding to 172120224 its reverse (422021271), we get a palindrome (594141495).

It can be divided in two parts, 1721 and 20224, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 172120224 in words is "one hundred seventy-two million, one hundred twenty thousand, two hundred twenty-four".