172806048 has 144 divisors (see below), whose sum is σ = 518446656. Its totient is φ = 56609280.

The previous prime is 172806047. The next prime is 172806079. The reversal of 172806048 is 840608271.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (172806043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551940 + ... + 552252.

It is an arithmetic number, because the mean of its divisors is an integer number (3600324).

Almost surely, 2^172806048 is an apocalyptic number.

172806048 is a gapful number since it is divisible by the number (18) 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 172806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259223328).

172806048 is an abundant number, since it is smaller than the sum of its proper divisors (345640608).

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

172806048 is an equidigital number, since it uses as much as digits as its factorization.

172806048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 172806048 is about 13145.5714215853. The cubic root of 172806048 is about 556.9971581821.

The spelling of 172806048 in words is "one hundred seventy-two million, eight hundred six thousand, forty-eight".