17182068072 has 64 divisors (see below), whose sum is σ = 46439628480. Its totient is φ = 5266194432.

The previous prime is 17182068061. The next prime is 17182068077. The reversal of 17182068072 is 27086028171.

It is not an unprimeable number, because it can be changed into a prime (17182068077) 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, 26958 + ... + 187325.

It is an arithmetic number, because the mean of its divisors is an integer number (725619195).

Almost surely, 2^17182068072 is an apocalyptic number.

17182068072 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 17182068072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219814240).

17182068072 is an abundant number, since it is smaller than the sum of its proper divisors (29257560408).

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

17182068072 is a wasteful number, since it uses less digits than its factorization.

17182068072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214562 (or 214558 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 17182068072 in words is "seventeen billion, one hundred eighty-two million, sixty-eight thousand, seventy-two".