172609234000 has 320 divisors, whose sum is σ = 488109473280. Its totient is φ = 57811353600.

The previous prime is 172609233989. The next prime is 172609234009. The reversal of 172609234000 is 432906271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172609234009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261925671 + ... + 261926329.

It is an arithmetic number, because the mean of its divisors is an integer number (1525342104).

Almost surely, 2^172609234000 is an apocalyptic number.

172609234000 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 172609234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244054736640).

172609234000 is an abundant number, since it is smaller than the sum of its proper divisors (315500239280).

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

172609234000 is a wasteful number, since it uses less digits than its factorization.

172609234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 172609234000 in words is "one hundred seventy-two billion, six hundred nine million, two hundred thirty-four thousand".