72085135040 has 56 divisors (see below), whose sum is σ = 173319338400. Its totient is φ = 28554098688.

The previous prime is 72085135039. The next prime is 72085135043. The reversal of 72085135040 is 4053158027.

It is a happy number.

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060565 + ... + 1126484.

Almost surely, 2^72085135040 is an apocalyptic number.

It is an amenable number.

72085135040 is an abundant number, since it is smaller than the sum of its proper divisors (101234203360).

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

72085135040 is a wasteful number, since it uses less digits than its factorization.

72085135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187169 (or 2187159 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 72085135040 in words is "seventy-two billion, eighty-five million, one hundred thirty-five thousand, forty".