72643206145757 has 8 divisors (see below), whose sum is σ = 78636487803384. Its totient is φ = 66707830591488.

The previous prime is 72643206145751. The next prime is 72643206145771. The reversal of 72643206145757 is 75754160234627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2437810699801 + 70205395445956 = 1561349^2 + 8378866^2 .

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 72643206145757 - 2⁸ = 72643206145501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72643206145696 and 72643206145705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72643206145751) 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 7 ways as a sum of consecutive naturals, for example, 14476523228 + ... + 14476528245.

It is an arithmetic number, because the mean of its divisors is an integer number (9829560975423).

Almost surely, 2^{72643206145757} is an apocalyptic number.

It is an amenable number.

72643206145757 is a deficient number, since it is larger than the sum of its proper divisors (5993281657627).

72643206145757 is a wasteful number, since it uses less digits than its factorization.

72643206145757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28953051679.

The product of its (nonzero) digits is 59270400, while the sum is 59.

The spelling of 72643206145757 in words is "seventy-two trillion, six hundred forty-three billion, two hundred six million, one hundred forty-five thousand, seven hundred fifty-seven".