172564992 has 240 divisors, whose sum is σ = 551110560. Its totient is φ = 53747712.

The previous prime is 172564981. The next prime is 172565009. The reversal of 172564992 is 299465271.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363868 + ... + 2363940.

It is an arithmetic number, because the mean of its divisors is an integer number (2296294).

Almost surely, 2^172564992 is an apocalyptic number.

172564992 is a gapful number since it is divisible by the number (12) 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 172564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275555280).

172564992 is an abundant number, since it is smaller than the sum of its proper divisors (378545568).

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

172564992 is an frugal number, since it uses more digits than its factorization.

172564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 172564992 is about 13136.3995067142. The cubic root of 172564992 is about 556.7380430467.

The spelling of 172564992 in words is "one hundred seventy-two million, five hundred sixty-four thousand, nine hundred ninety-two".