85672727712 has 432 divisors, whose sum is σ = 289849518504. Its totient is φ = 23843635200.

The previous prime is 85672727711. The next prime is 85672727713. The reversal of 85672727712 is 21772727658.

85672727712 is a `hidden beast` number, since 8 + 567 + 2 + 7 + 2 + 7 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (85672727711) and next prime (85672727713).

It can be written as a sum of positive squares in 4 ways, for example, as 59440390416 + 26232337296 = 243804^2 + 161964^2 .

It is a super-2 number, since 2×85672727712² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85672727711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127299408 + ... + 127300080.

Almost surely, 2^85672727712 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 85672727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144924759252).

85672727712 is an abundant number, since it is smaller than the sum of its proper divisors (204176790792).

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

85672727712 is a wasteful number, since it uses less digits than its factorization.

85672727712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 983 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

Subtracting from 85672727712 its sum of digits (54), we obtain a palindrome (85672727658).

The spelling of 85672727712 in words is "eighty-five billion, six hundred seventy-two million, seven hundred twenty-seven thousand, seven hundred twelve".