172605006 has 80 divisors (see below), whose sum is σ = 465336960. Its totient is φ = 46714320.

The previous prime is 172604989. The next prime is 172605007. The reversal of 172605006 is 600506271.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172605007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17541 + ... + 25551.

It is an arithmetic number, because the mean of its divisors is an integer number (5816712).

Almost surely, 2^172605006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172605006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232668480).

172605006 is an abundant number, since it is smaller than the sum of its proper divisors (292731954).

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

172605006 is a wasteful number, since it uses less digits than its factorization.

172605006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 172605006 is about 13137.9224384984. The cubic root of 172605006 is about 556.7810714619.

The spelling of 172605006 in words is "one hundred seventy-two million, six hundred five thousand, six".