72116931061441 has 32 divisors (see below), whose sum is σ = 82876760384000. Its totient is φ = 61472635499520.

The previous prime is 72116931061429. The next prime is 72116931061501. The reversal of 72116931061441 is 14416013961127.

It is not a de Polignac number, because 72116931061441 - 2²³ = 72116922672833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72116931061391 and 72116931061400.

It is not an unprimeable number, because it can be changed into a prime (72116931061141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1425238660 + ... + 1425289258.

It is an arithmetic number, because the mean of its divisors is an integer number (2589898762000).

Almost surely, 2^{72116931061441} is an apocalyptic number.

It is an amenable number.

72116931061441 is a deficient number, since it is larger than the sum of its proper divisors (10759829322559).

72116931061441 is a wasteful number, since it uses less digits than its factorization.

72116931061441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52529.

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 72116931061441 in words is "seventy-two trillion, one hundred sixteen billion, nine hundred thirty-one million, sixty-one thousand, four hundred forty-one".