72820628309 has 16 divisors (see below), whose sum is σ = 85715173824. Its totient is φ = 60991315200.

The previous prime is 72820628299. The next prime is 72820628317. The reversal of 72820628309 is 90382602827.

It is a cyclic number.

It is not a de Polignac number, because 72820628309 - 2¹² = 72820624213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72820628359) 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 15 ways as a sum of consecutive naturals, for example, 412052 + ... + 561629.

It is an arithmetic number, because the mean of its divisors is an integer number (5357198364).

Almost surely, 2^72820628309 is an apocalyptic number.

It is an amenable number.

72820628309 is a deficient number, since it is larger than the sum of its proper divisors (12894545515).

72820628309 is a wasteful number, since it uses less digits than its factorization.

72820628309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974228.

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 72820628309 in words is "seventy-two billion, eight hundred twenty million, six hundred twenty-eight thousand, three hundred nine".