172117504 has 80 divisors (see below), whose sum is σ = 390131280. Its totient is φ = 75202560.

The previous prime is 172117489. The next prime is 172117507. The reversal of 172117504 is 405711271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172117507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125784 + ... + 127144.

It is an arithmetic number, because the mean of its divisors is an integer number (4876641).

Almost surely, 2^172117504 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 172117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195065640).

172117504 is an abundant number, since it is smaller than the sum of its proper divisors (218013776).

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

172117504 is a wasteful number, since it uses less digits than its factorization.

172117504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 172117504 is about 13119.3560817595. The cubic root of 172117504 is about 556.2563902140.

Adding to 172117504 its reverse (405711271), we get a palindrome (577828775).

The spelling of 172117504 in words is "one hundred seventy-two million, one hundred seventeen thousand, five hundred four".