72821343293 has 8 divisors (see below), whose sum is σ = 78368968440. Its totient is φ = 67414164480.

The previous prime is 72821343271. The next prime is 72821343317. The reversal of 72821343293 is 39234312827.

It can be written as a sum of positive squares in 4 ways, for example, as 18828779524 + 53992563769 = 137218^2 + 232363^2 .

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 72821343293 - 2¹⁴ = 72821326909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72821343233) 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 7 ways as a sum of consecutive naturals, for example, 35110508 + ... + 35112581.

It is an arithmetic number, because the mean of its divisors is an integer number (9796121055).

Almost surely, 2^72821343293 is an apocalyptic number.

It is an amenable number.

72821343293 is a deficient number, since it is larger than the sum of its proper divisors (5547625147).

72821343293 is a wasteful number, since it uses less digits than its factorization.

72821343293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70223167.

The product of its digits is 435456, while the sum is 44.

The spelling of 72821343293 in words is "seventy-two billion, eight hundred twenty-one million, three hundred forty-three thousand, two hundred ninety-three".