172711040 has 64 divisors (see below), whose sum is σ = 414513720. Its totient is φ = 68812800.

The previous prime is 172711039. The next prime is 172711057. The reversal of 172711040 is 40117271.

It can be written as a sum of positive squares in 4 ways, for example, as 119596096 + 53114944 = 10936^2 + 7288^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 172710997 and 172711015.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 269120 + ... + 269760.

Almost surely, 2^172711040 is an apocalyptic number.

172711040 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 172711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207256860).

172711040 is an abundant number, since it is smaller than the sum of its proper divisors (241802680).

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

172711040 is an equidigital number, since it uses as much as digits as its factorization.

172711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 172711040 is about 13141.9572362719. The cubic root of 172711040 is about 556.8950612786.

The spelling of 172711040 in words is "one hundred seventy-two million, seven hundred eleven thousand, forty".