172957008 has 80 divisors (see below), whose sum is σ = 522553856. Its totient is φ = 48263040.

The previous prime is 172956947. The next prime is 172957049. The reversal of 172957008 is 800759271.

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, 8463 + ... + 20433.

Almost surely, 2^172957008 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 172957008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261276928).

172957008 is an abundant number, since it is smaller than the sum of its proper divisors (349596848).

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

172957008 is a wasteful number, since it uses less digits than its factorization.

172957008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12026 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 172957008 is about 13151.3120258018. The cubic root of 172957008 is about 557.1593049338.

The spelling of 172957008 in words is "one hundred seventy-two million, nine hundred fifty-seven thousand, eight".