72730629301 has 12 divisors (see below), whose sum is σ = 79968592396. Its totient is φ = 66098070720.

The previous prime is 72730629263. The next prime is 72730629313. The reversal of 72730629301 is 10392603727.

It can be written as a sum of positive squares in 2 ways, for example, as 67912881201 + 4817748100 = 260601^2 + 69410^2 .

It is not a de Polignac number, because 72730629301 - 2²⁹ = 72193758389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72730629401) 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, 301225 + ... + 486001.

Almost surely, 2^72730629301 is an apocalyptic number.

It is an amenable number.

72730629301 is a deficient number, since it is larger than the sum of its proper divisors (7237963095).

72730629301 is a wasteful number, since it uses less digits than its factorization.

72730629301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188052 (or 188041 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The spelling of 72730629301 in words is "seventy-two billion, seven hundred thirty million, six hundred twenty-nine thousand, three hundred one".