72016233277105 has 64 divisors (see below), whose sum is σ = 97537941523008. Its totient is φ = 50688330301440.

The previous prime is 72016233277069. The next prime is 72016233277129. The reversal of 72016233277105 is 50177233261027.

It can be written as a sum of positive squares in 32 ways, for example, as 28128841217569 + 43887392059536 = 5303663^2 + 6624756^2 .

It is not a de Polignac number, because 72016233277105 - 2⁹ = 72016233276593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81264357 + ... + 82145773.

It is an arithmetic number, because the mean of its divisors is an integer number (1524030336297).

Almost surely, 2^{72016233277105} is an apocalyptic number.

It is an amenable number.

72016233277105 is a deficient number, since it is larger than the sum of its proper divisors (25521708245903).

72016233277105 is a wasteful number, since it uses less digits than its factorization.

72016233277105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882166.

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 72016233277105 in words is "seventy-two trillion, sixteen billion, two hundred thirty-three million, two hundred seventy-seven thousand, one hundred five".