172917342000 has 640 divisors, whose sum is σ = 675534263040. Its totient is φ = 42550272000.

The previous prime is 172917341981. The next prime is 172917342019. The reversal of 172917342000 is 243719271.

It is an interprime number because it is at equal distance from previous prime (172917341981) and next prime (172917342019).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56860480 + ... + 56863520.

It is an arithmetic number, because the mean of its divisors is an integer number (1055522286).

Almost surely, 2^172917342000 is an apocalyptic number.

172917342000 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 172917342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337767131520).

172917342000 is an abundant number, since it is smaller than the sum of its proper divisors (502616921040).

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

172917342000 is an equidigital number, since it uses as much as digits as its factorization.

172917342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 172917342000 in words is "one hundred seventy-two billion, nine hundred seventeen million, three hundred forty-two thousand".