17072206272 has 224 divisors, whose sum is σ = 56641593600. Its totient is φ = 4994841600.

The previous prime is 17072206189. The next prime is 17072206273. The reversal of 17072206272 is 27260227071.

17072206272 is a `hidden beast` number, since 1 + 7 + 0 + 7 + 2 + 20 + 627 + 2 = 666.

17072206272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×17072206272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17072206273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535747 + ... + 566717.

Almost surely, 2^17072206272 is an apocalyptic number.

17072206272 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 17072206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320796800).

17072206272 is an abundant number, since it is smaller than the sum of its proper divisors (39569387328).

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

17072206272 is a wasteful number, since it uses less digits than its factorization.

17072206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31032 (or 31016 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 17072206272 in words is "seventeen billion, seventy-two million, two hundred six thousand, two hundred seventy-two".