172617320 has 64 divisors (see below), whose sum is σ = 415633680. Its totient is φ = 64290816.

The previous prime is 172617307. The next prime is 172617359. The reversal of 172617320 is 23716271.

172617320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 143952004 + 28665316 = 11998^2 + 5354^2 .

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, 64652 + ... + 67268.

Almost surely, 2^172617320 is an apocalyptic number.

172617320 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 172617320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207816840).

172617320 is an abundant number, since it is smaller than the sum of its proper divisors (243016360).

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

172617320 is a wasteful number, since it uses less digits than its factorization.

172617320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 172617320 is about 13138.3910734915. The cubic root of 172617320 is about 556.7943117868.

The spelling of 172617320 in words is "one hundred seventy-two million, six hundred seventeen thousand, three hundred twenty".