72135212665 has 8 divisors (see below), whose sum is σ = 86566367880. Its totient is φ = 57705428352.

The previous prime is 72135212557. The next prime is 72135212693. The reversal of 72135212665 is 56621253127.

It can be written as a sum of positive squares in 4 ways, for example, as 3487020601 + 68648192064 = 59051^2 + 262008^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72135212665 - 2¹¹ = 72135210617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223170 + ... + 440539.

It is an arithmetic number, because the mean of its divisors is an integer number (10820795985).

Almost surely, 2^72135212665 is an apocalyptic number.

It is an amenable number.

72135212665 is a deficient number, since it is larger than the sum of its proper divisors (14431155215).

72135212665 is a wasteful number, since it uses less digits than its factorization.

72135212665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685451.

The product of its digits is 151200, while the sum is 40.

The spelling of 72135212665 in words is "seventy-two billion, one hundred thirty-five million, two hundred twelve thousand, six hundred sixty-five".