17005251072 has 160 divisors (see below), whose sum is σ = 47021990400. Its totient is φ = 5454675968.

The previous prime is 17005251071. The next prime is 17005251073. The reversal of 17005251072 is 27015250071.

It is an interprime number because it is at equal distance from previous prime (17005251071) and next prime (17005251073).

It is not an unprimeable number, because it can be changed into a prime (17005251071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21336178 + ... + 21336974.

It is an arithmetic number, because the mean of its divisors is an integer number (293887440).

Almost surely, 2^17005251072 is an apocalyptic number.

17005251072 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 17005251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23510995200).

17005251072 is an abundant number, since it is smaller than the sum of its proper divisors (30016739328).

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

17005251072 is an equidigital number, since it uses as much as digits as its factorization.

17005251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The spelling of 17005251072 in words is "seventeen billion, five million, two hundred fifty-one thousand, seventy-two".