17172372672 has 672 divisors, whose sum is σ = 65414469120. Its totient is φ = 4180377600.

The previous prime is 17172372667. The next prime is 17172372733. The reversal of 17172372672 is 27627327171.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42823672 + ... + 42824072.

It is an arithmetic number, because the mean of its divisors is an integer number (97342960).

Almost surely, 2^17172372672 is an apocalyptic number.

17172372672 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 17172372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707234560).

17172372672 is an abundant number, since it is smaller than the sum of its proper divisors (48242096448).

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

17172372672 is a wasteful number, since it uses less digits than its factorization.

17172372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The spelling of 17172372672 in words is "seventeen billion, one hundred seventy-two million, three hundred seventy-two thousand, six hundred seventy-two".