172188401 has 32 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 131182800.

The previous prime is 172188329. The next prime is 172188403. The reversal of 172188401 is 104881271.

It is not a de Polignac number, because 172188401 - 2¹⁰ = 172187377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172188403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 176846 + ... + 177816.

It is an arithmetic number, because the mean of its divisors is an integer number (6998400).

Almost surely, 2^172188401 is an apocalyptic number.

172188401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

172188401 is a deficient number, since it is larger than the sum of its proper divisors (51760399).

172188401 is an equidigital number, since it uses as much as digits as its factorization.

172188401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 172188401 is about 13122.0578035611. The cubic root of 172188401 is about 556.3327556713.

The spelling of 172188401 in words is "one hundred seventy-two million, one hundred eighty-eight thousand, four hundred one".