72116520709 has 8 divisors (see below), whose sum is σ = 76524314328. Its totient is φ = 67727132160.

The previous prime is 72116520701. The next prime is 72116520719. The reversal of 72116520709 is 90702561127.

It can be written as a sum of positive squares in 4 ways, for example, as 918271809 + 71198248900 = 30303^2 + 266830^2 .

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 72116520709 - 2³ = 72116520701 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 (72116520701) 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 7 ways as a sum of consecutive naturals, for example, 4593192 + ... + 4608865.

It is an arithmetic number, because the mean of its divisors is an integer number (9565539291).

Almost surely, 2^72116520709 is an apocalyptic number.

It is an amenable number.

72116520709 is a deficient number, since it is larger than the sum of its proper divisors (4407793619).

72116520709 is a wasteful number, since it uses less digits than its factorization.

72116520709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202535.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 72116520709 in words is "seventy-two billion, one hundred sixteen million, five hundred twenty thousand, seven hundred nine".