72137410313 has 4 divisors (see below), whose sum is σ = 72138110160. Its totient is φ = 72136710468.

The previous prime is 72137410259. The next prime is 72137410339. The reversal of 72137410313 is 31301473127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 72137410313 - 2²⁴ = 72120633097 is a prime.

It is a super-2 number, since 2×72137410313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72137410313.

It is not an unprimeable number, because it can be changed into a prime (72137410363) 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 3 ways as a sum of consecutive naturals, for example, 161483 + ... + 412736.

It is an arithmetic number, because the mean of its divisors is an integer number (18034527540).

Almost surely, 2^72137410313 is an apocalyptic number.

It is an amenable number.

72137410313 is a deficient number, since it is larger than the sum of its proper divisors (699847).

72137410313 is a wasteful number, since it uses less digits than its factorization.

72137410313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699846.

The product of its (nonzero) digits is 10584, while the sum is 32.

The spelling of 72137410313 in words is "seventy-two billion, one hundred thirty-seven million, four hundred ten thousand, three hundred thirteen".