72816103735 has 8 divisors (see below), whose sum is σ = 87423048000. Its totient is φ = 58223733984.

The previous prime is 72816103597. The next prime is 72816103739. The reversal of 72816103735 is 53730161827.

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 72816103735 - 2³³ = 64226169143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72816103691 and 72816103700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72816103739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3632632 + ... + 3652621.

It is an arithmetic number, because the mean of its divisors is an integer number (10927881000).

Almost surely, 2^72816103735 is an apocalyptic number.

72816103735 is a deficient number, since it is larger than the sum of its proper divisors (14606944265).

72816103735 is a wasteful number, since it uses less digits than its factorization.

72816103735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287257.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 72816103735 in words is "seventy-two billion, eight hundred sixteen million, one hundred three thousand, seven hundred thirty-five".