6617172072 has 192 divisors, whose sum is σ = 20610288000. Its totient is φ = 1758941184.

The previous prime is 6617172071. The next prime is 6617172077. The reversal of 6617172072 is 2702717166.

It is a self number, because there is not a number n which added to its sum of digits gives 6617172072.

It is not an unprimeable number, because it can be changed into a prime (6617172071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1777429 + ... + 1781147.

It is an arithmetic number, because the mean of its divisors is an integer number (107345250).

Almost surely, 2^6617172072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6617172072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305144000).

6617172072 is an abundant number, since it is smaller than the sum of its proper divisors (13993115928).

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

6617172072 is a wasteful number, since it uses less digits than its factorization.

6617172072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 6617172072 is about 81346.0021881838. The cubic root of 6617172072 is about 1877.4028639529.

The spelling of 6617172072 in words is "six billion, six hundred seventeen million, one hundred seventy-two thousand, seventy-two".