172372880 has 60 divisors (see below), whose sum is σ = 406709460. Its totient is φ = 67940352.

The previous prime is 172372867. The next prime is 172372901. The reversal of 172372880 is 88273271.

It can be written as a sum of positive squares in 6 ways, for example, as 3268864 + 169104016 = 1808^2 + 13004^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752606 + ... + 752834.

It is an arithmetic number, because the mean of its divisors is an integer number (6778491).

Almost surely, 2^172372880 is an apocalyptic number.

172372880 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 172372880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203354730).

172372880 is an abundant number, since it is smaller than the sum of its proper divisors (234336580).

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

172372880 is an equidigital number, since it uses as much as digits as its factorization.

172372880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 172372880 is about 13129.0852689744. The cubic root of 172372880 is about 556.5313657967.

The spelling of 172372880 in words is "one hundred seventy-two million, three hundred seventy-two thousand, eight hundred eighty".