72738903775 has 24 divisors (see below), whose sum is σ = 90829436544. Its totient is φ = 57783936000.

The previous prime is 72738903761. The next prime is 72738903779. The reversal of 72738903775 is 57730983727.

It is not a de Polignac number, because 72738903775 - 2¹¹ = 72738901727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738903779) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2219307 + ... + 2251843.

It is an arithmetic number, because the mean of its divisors is an integer number (3784559856).

Almost surely, 2^72738903775 is an apocalyptic number.

72738903775 is a deficient number, since it is larger than the sum of its proper divisors (18090532769).

72738903775 is a wasteful number, since it uses less digits than its factorization.

72738903775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33171 (or 33166 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 58.

The spelling of 72738903775 in words is "seventy-two billion, seven hundred thirty-eight million, nine hundred three thousand, seven hundred seventy-five".