172416321792 has 1152 divisors, whose sum is σ = 656675389440. Its totient is φ = 43794432000.

The previous prime is 172416321757. The next prime is 172416321797. The reversal of 172416321792 is 297123614271.

172416321792 is a `hidden beast` number, since 1 + 7 + 2 + 4 + 1 + 632 + 1 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (172416321797) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 520895067 + ... + 520895397.

It is an arithmetic number, because the mean of its divisors is an integer number (570030720).

Almost surely, 2^172416321792 is an apocalyptic number.

172416321792 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 172416321792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328337694720).

172416321792 is an abundant number, since it is smaller than the sum of its proper divisors (484259067648).

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

172416321792 is a wasteful number, since it uses less digits than its factorization.

172416321792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 172416321792 in words is "one hundred seventy-two billion, four hundred sixteen million, three hundred twenty-one thousand, seven hundred ninety-two".