172608240 has 160 divisors (see below), whose sum is σ = 617103360. Its totient is φ = 39094272.

The previous prime is 172608239. The next prime is 172608253. The reversal of 172608240 is 42806271.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 172608198 and 172608207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212956 + ... + 213764.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^172608240 is an apocalyptic number.

172608240 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 172608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

172608240 is an abundant number, since it is smaller than the sum of its proper divisors (444495120).

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

172608240 is a wasteful number, since it uses less digits than its factorization.

172608240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 172608240 is about 13138.0455167426. The cubic root of 172608240 is about 556.7845488016.

The spelling of 172608240 in words is "one hundred seventy-two million, six hundred eight thousand, two hundred forty".