172124040 has 128 divisors (see below), whose sum is σ = 593049600. Its totient is φ = 39525120.

The previous prime is 172124039. The next prime is 172124081. The reversal of 172124040 is 40421271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 172123998 and 172124016.

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 31 ways as a sum of consecutive naturals, for example, 21649 + ... + 28511.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 2^172124040 is an apocalyptic number.

172124040 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 172124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524800).

172124040 is an abundant number, since it is smaller than the sum of its proper divisors (420925560).

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

172124040 is a wasteful number, since it uses less digits than its factorization.

172124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 172124040 is about 13119.6051769861. The cubic root of 172124040 is about 556.2634312289.

The spelling of 172124040 in words is "one hundred seventy-two million, one hundred twenty-four thousand, forty".