17027733102072 has 128 divisors (see below), whose sum is σ = 53080908595200. Its totient is φ = 4422166588800.

The previous prime is 17027733102043. The next prime is 17027733102077. The reversal of 17027733102072 is 27020133772071.

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 (17027733102077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12586297 + ... + 13873367.

It is an arithmetic number, because the mean of its divisors is an integer number (414694598400).

Almost surely, 2^{17027733102072} is an apocalyptic number.

17027733102072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

17027733102072 is an abundant number, since it is smaller than the sum of its proper divisors (36053175493128).

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

17027733102072 is a wasteful number, since it uses less digits than its factorization.

17027733102072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294257 (or 1294253 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The spelling of 17027733102072 in words is "seventeen trillion, twenty-seven billion, seven hundred thirty-three million, one hundred two thousand, seventy-two".