72085135041 has 24 divisors (see below), whose sum is σ = 106967398824. Its totient is φ = 46744680960.

The previous prime is 72085135039. The next prime is 72085135043. The reversal of 72085135041 is 14053158027.

72085135041 is a `hidden beast` number, since 72 + 0 + 85 + 1 + 3 + 504 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (72085135039) and next prime (72085135043).

It can be written as a sum of positive squares in 4 ways, for example, as 10579151025 + 61505984016 = 102855^2 + 248004^2 .

It is not a de Polignac number, because 72085135041 - 2¹ = 72085135039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72085134987 and 72085135005.

It is not an unprimeable number, because it can be changed into a prime (72085135043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223635 + ... + 1281191.

It is an arithmetic number, because the mean of its divisors is an integer number (4456974951).

Almost surely, 2^72085135041 is an apocalyptic number.

It is an amenable number.

72085135041 is a deficient number, since it is larger than the sum of its proper divisors (34882263783).

72085135041 is a wasteful number, since it uses less digits than its factorization.

72085135041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61361 (or 61358 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 72085135041 in words is "seventy-two billion, eighty-five million, one hundred thirty-five thousand, forty-one".