172067142253632 has 224 divisors, whose sum is σ = 475857716060160. Its totient is φ = 54769323079680.

The previous prime is 172067142253571. The next prime is 172067142253667. The reversal of 172067142253632 is 236352241760271.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17880816373 + ... + 17880825995.

It is an arithmetic number, because the mean of its divisors is an integer number (2124364803840).

Almost surely, 2^{172067142253632} is an apocalyptic number.

172067142253632 is a gapful number since it is divisible by the number (12) 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 172067142253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237928858030080).

172067142253632 is an abundant number, since it is smaller than the sum of its proper divisors (303790573806528).

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

172067142253632 is a wasteful number, since it uses less digits than its factorization.

172067142253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16081 (or 16071 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 172067142253632 in words is "one hundred seventy-two trillion, sixty-seven billion, one hundred forty-two million, two hundred fifty-three thousand, six hundred thirty-two".