72631161641 has 16 divisors (see below), whose sum is σ = 78185027088. Its totient is φ = 67220275200.

The previous prime is 72631161637. The next prime is 72631161703. The reversal of 72631161641 is 14616113627.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 745508416 + 71885653225 = 27304^2 + 268115^2 .

It is a cyclic number.

It is not a de Polignac number, because 72631161641 - 2² = 72631161637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72631161595 and 72631161604.

It is not an unprimeable number, because it can be changed into a prime (72631161241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5449001 + ... + 5462313.

It is an arithmetic number, because the mean of its divisors is an integer number (4886564193).

Almost surely, 2^72631161641 is an apocalyptic number.

It is an amenable number.

72631161641 is a deficient number, since it is larger than the sum of its proper divisors (5553865447).

72631161641 is a wasteful number, since it uses less digits than its factorization.

72631161641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652.

The product of its digits is 36288, while the sum is 38.

The spelling of 72631161641 in words is "seventy-two billion, six hundred thirty-one million, one hundred sixty-one thousand, six hundred forty-one".