72351015327 has 12 divisors (see below), whose sum is σ = 105938626144. Its totient is φ = 47573269920.

The previous prime is 72351015271. The next prime is 72351015391.

It is a happy number.

72351015327 is a `hidden beast` number, since 72 + 3 + 51 + 0 + 1 + 532 + 7 = 666.

72351015327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72351015327 - 2⁶ = 72351015263 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72351015291 and 72351015300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72351015397) 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 11 ways as a sum of consecutive naturals, for example, 55060999 + ... + 55062312.

Almost surely, 2^72351015327 is an apocalyptic number.

72351015327 is a deficient number, since it is larger than the sum of its proper divisors (33587610817).

72351015327 is a wasteful number, since it uses less digits than its factorization.

72351015327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110123390 (or 110123387 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

It can be divided in two parts, 723510 and 15327, that added together give a palindrome (738837).

The spelling of 72351015327 in words is "seventy-two billion, three hundred fifty-one million, fifteen thousand, three hundred twenty-seven".