172125828 has 54 divisors (see below), whose sum is σ = 506137086. Its totient is φ = 49178304.

The previous prime is 172125823. The next prime is 172125847. The reversal of 172125828 is 828521271.

172125828 is a `hidden beast` number, since 1 + 72 + 1 + 2 + 582 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 56520324 = 10752^2 + 7518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172125792 and 172125801.

It is not an unprimeable number, because it can be changed into a prime (172125823) 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 17 ways as a sum of consecutive naturals, for example, 47025 + ... + 50552.

It is an arithmetic number, because the mean of its divisors is an integer number (9372909).

Almost surely, 2^172125828 is an apocalyptic number.

172125828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172125828 is an abundant number, since it is smaller than the sum of its proper divisors (334011258).

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

172125828 is a wasteful number, since it uses less digits than its factorization.

172125828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97601 (or 97589 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 172125828 is about 13119.6733191036. The cubic root of 172125828 is about 556.2653573507.

The spelling of 172125828 in words is "one hundred seventy-two million, one hundred twenty-five thousand, eight hundred twenty-eight".