172020617000 has 64 divisors (see below), whose sum is σ = 402736276800. Its totient is φ = 68772686400.

The previous prime is 172020616973. The next prime is 172020617017. The reversal of 172020617000 is 716020271.

172020617000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935539 + ... + 2022461.

It is an arithmetic number, because the mean of its divisors is an integer number (6292754325).

Almost surely, 2^172020617000 is an apocalyptic number.

172020617000 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 172020617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201368138400).

172020617000 is an abundant number, since it is smaller than the sum of its proper divisors (230715659800).

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

172020617000 is a wasteful number, since it uses less digits than its factorization.

172020617000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88923 (or 88909 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

Adding to 172020617000 its reverse (716020271), we get a palindrome (172736637271).

The spelling of 172020617000 in words is "one hundred seventy-two billion, twenty million, six hundred seventeen thousand".