172710216672 has 384 divisors, whose sum is σ = 550787973120. Its totient is φ = 46351595520.

The previous prime is 172710216671. The next prime is 172710216689. The reversal of 172710216672 is 276612017271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172710216671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102013458 + ... + 102015150.

It is an arithmetic number, because the mean of its divisors is an integer number (1434343680).

Almost surely, 2^172710216672 is an apocalyptic number.

172710216672 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 172710216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275393986560).

172710216672 is an abundant number, since it is smaller than the sum of its proper divisors (378077756448).

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

172710216672 is a wasteful number, since it uses less digits than its factorization.

172710216672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 172710216672 in words is "one hundred seventy-two billion, seven hundred ten million, two hundred sixteen thousand, six hundred seventy-two".