72888900735 has 16 divisors (see below), whose sum is σ = 133282561536. Its totient is φ = 33320640288.

The previous prime is 72888900719. The next prime is 72888900751. The reversal of 72888900735 is 53700988827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72888900719) and next prime (72888900751).

It is not a de Polignac number, because 72888900735 - 2⁴ = 72888900719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347089899 + ... + 347090108.

It is an arithmetic number, because the mean of its divisors is an integer number (8330160096).

Almost surely, 2^72888900735 is an apocalyptic number.

72888900735 is a deficient number, since it is larger than the sum of its proper divisors (60393660801).

72888900735 is a wasteful number, since it uses less digits than its factorization.

72888900735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694180022.

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 72888900735 in words is "seventy-two billion, eight hundred eighty-eight million, nine hundred thousand, seven hundred thirty-five".