172300128 has 288 divisors, whose sum is σ = 615621888. Its totient is φ = 41057280.

The previous prime is 172300127. The next prime is 172300129. The reversal of 172300128 is 821003271.

It is an interprime number because it is at equal distance from previous prime (172300127) and next prime (172300129).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 172300098 and 172300107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172300123) 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 47 ways as a sum of consecutive naturals, for example, 1056975 + ... + 1057137.

It is an arithmetic number, because the mean of its divisors is an integer number (2137576).

Almost surely, 2^172300128 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 172300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307810944).

172300128 is an abundant number, since it is smaller than the sum of its proper divisors (443321760).

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

172300128 is a wasteful number, since it uses less digits than its factorization.

172300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 172300128 is about 13126.3143341915. The cubic root of 172300128 is about 556.4530579107.

Adding to 172300128 its reverse (821003271), we get a palindrome (993303399).

The spelling of 172300128 in words is "one hundred seventy-two million, three hundred thousand, one hundred twenty-eight".