72115120691 has 16 divisors (see below), whose sum is σ = 77367715200. Its totient is φ = 66975787008.

The previous prime is 72115120663. The next prime is 72115120723. The reversal of 72115120691 is 19602151127.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72115120691 is a prime.

It is a super-3 number, since 3×72115120691³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72115120631) 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 15 ways as a sum of consecutive naturals, for example, 2501105 + ... + 2529773.

It is an arithmetic number, because the mean of its divisors is an integer number (4835482200).

Almost surely, 2^72115120691 is an apocalyptic number.

72115120691 is a deficient number, since it is larger than the sum of its proper divisors (5252594509).

72115120691 is a wasteful number, since it uses less digits than its factorization.

72115120691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30638.

The product of its (nonzero) digits is 7560, while the sum is 35.

The spelling of 72115120691 in words is "seventy-two billion, one hundred fifteen million, one hundred twenty thousand, six hundred ninety-one".