172485504 has 128 divisors (see below), whose sum is σ = 526932000. Its totient is φ = 55480320.

The previous prime is 172485493. The next prime is 172485539. The reversal of 172485504 is 405584271.

172485504 is a `hidden beast` number, since 1 + 72 + 4 + 85 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 99364 + ... + 101084.

Almost surely, 2^172485504 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 172485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263466000).

172485504 is an abundant number, since it is smaller than the sum of its proper divisors (354446496).

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

172485504 is a wasteful number, since it uses less digits than its factorization.

172485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 172485504 is about 13133.3736716809. The cubic root of 172485504 is about 556.6525471616.

The spelling of 172485504 in words is "one hundred seventy-two million, four hundred eighty-five thousand, five hundred four".