72468735105 has 32 divisors (see below), whose sum is σ = 124998660864. Its totient is φ = 35639928576.

The previous prime is 72468735091. The next prime is 72468735113. The reversal of 72468735105 is 50153786427.

It is not a de Polignac number, because 72468735105 - 2⁷ = 72468734977 is a prime.

It is a super-2 number, since 2×72468735105² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3594 + ... + 380723.

It is an arithmetic number, because the mean of its divisors is an integer number (3906208152).

Almost surely, 2^72468735105 is an apocalyptic number.

It is an amenable number.

72468735105 is a deficient number, since it is larger than the sum of its proper divisors (52529925759).

72468735105 is a wasteful number, since it uses less digits than its factorization.

72468735105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385305.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 72468735105 in words is "seventy-two billion, four hundred sixty-eight million, seven hundred thirty-five thousand, one hundred five".