172007808 has 128 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 48525312.

The previous prime is 172007807. The next prime is 172007821. The reversal of 172007808 is 808700271.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172007807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238873 + ... + 239591.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^172007808 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 172007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

172007808 is an abundant number, since it is smaller than the sum of its proper divisors (356760192).

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

172007808 is an equidigital number, since it uses as much as digits as its factorization.

172007808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 172007808 is about 13115.1747224351. The cubic root of 172007808 is about 556.1381917599.

The spelling of 172007808 in words is "one hundred seventy-two million, seven thousand, eight hundred eight".