172125632 has 56 divisors (see below), whose sum is σ = 398373600. Its totient is φ = 73758720.

The previous prime is 172125631. The next prime is 172125637. The reversal of 172125632 is 236521271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 172125595 and 172125604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172125631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18032 + ... + 25872.

Almost surely, 2^172125632 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 172125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199186800).

172125632 is an abundant number, since it is smaller than the sum of its proper divisors (226247968).

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

172125632 is an frugal number, since it uses more digits than its factorization.

172125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7850 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 172125632 is about 13119.6658494033. The cubic root of 172125632 is about 556.2651462105.

The spelling of 172125632 in words is "one hundred seventy-two million, one hundred twenty-five thousand, six hundred thirty-two".