172882920 has 256 divisors, whose sum is σ = 630374400. Its totient is φ = 37094400.

The previous prime is 172882901. The next prime is 172882951. The reversal of 172882920 is 29288271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144845 + ... + 1144995.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2^172882920 is an apocalyptic number.

172882920 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 172882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315187200).

172882920 is an abundant number, since it is smaller than the sum of its proper divisors (457491480).

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

172882920 is a wasteful number, since it uses less digits than its factorization.

172882920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 172882920 is about 13148.4949709083. The cubic root of 172882920 is about 557.0797385056.

It can be divided in two parts, 1728 and 82920, that added together give a palindrome (84648).

The spelling of 172882920 in words is "one hundred seventy-two million, eight hundred eighty-two thousand, nine hundred twenty".