172319120 has 20 divisors (see below), whose sum is σ = 400642140. Its totient is φ = 68927616.

The previous prime is 172319107. The next prime is 172319129. The reversal of 172319120 is 21913271.

It can be written as a sum of positive squares in 2 ways, for example, as 33362176 + 138956944 = 5776^2 + 11788^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 172319120.

It is not an unprimeable number, because it can be changed into a prime (172319129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1076915 + ... + 1077074.

It is an arithmetic number, because the mean of its divisors is an integer number (20032107).

Almost surely, 2^172319120 is an apocalyptic number.

172319120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172319120 is an abundant number, since it is smaller than the sum of its proper divisors (228323020).

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

172319120 is a wasteful number, since it uses less digits than its factorization.

172319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154002 (or 2153996 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 172319120 is about 13127.0377465748. The cubic root of 172319120 is about 556.4735024074.

The spelling of 172319120 in words is "one hundred seventy-two million, three hundred nineteen thousand, one hundred twenty".