617161272 has 256 divisors, whose sum is σ = 1989120000. Its totient is φ = 158505984.

The previous prime is 617161253. The next prime is 617161273. The reversal of 617161272 is 272161716.

It is a super-3 number, since 3×617161272³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617161273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7812129 + ... + 7812207.

It is an arithmetic number, because the mean of its divisors is an integer number (7770000).

Almost surely, 2^617161272 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 617161272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994560000).

617161272 is an abundant number, since it is smaller than the sum of its proper divisors (1371958728).

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

617161272 is a wasteful number, since it uses less digits than its factorization.

617161272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 617161272 is about 24842.7307677719. The cubic root of 617161272 is about 851.3985152757.

The spelling of 617161272 in words is "six hundred seventeen million, one hundred sixty-one thousand, two hundred seventy-two".