172134072000 has 2240 divisors, whose sum is σ = 773257605120. Its totient is φ = 37324800000.

The previous prime is 172134071983. The next prime is 172134072007. The reversal of 172134072000 is 270431271.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (172134072007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4198391980 + ... + 4198392020.

It is an arithmetic number, because the mean of its divisors is an integer number (345204288).

Almost surely, 2^172134072000 is an apocalyptic number.

172134072000 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 172134072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386628802560).

172134072000 is an abundant number, since it is smaller than the sum of its proper divisors (601123533120).

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

172134072000 is a wasteful number, since it uses less digits than its factorization.

172134072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 172134072000 in words is "one hundred seventy-two billion, one hundred thirty-four million, seventy-two thousand".