72730858005 has 384 divisors, whose sum is σ = 158468244480. Its totient is φ = 30457036800.

The previous prime is 72730858003. The next prime is 72730858007. The reversal of 72730858005 is 50085803727.

It is an interprime number because it is at equal distance from previous prime (72730858003) and next prime (72730858007).

It is not a de Polignac number, because 72730858005 - 2¹ = 72730858003 is a prime.

It is a super-2 number, since 2×72730858005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72730858003) 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 383 ways as a sum of consecutive naturals, for example, 706124784 + ... + 706124886.

It is an arithmetic number, because the mean of its divisors is an integer number (412677720).

Almost surely, 2^72730858005 is an apocalyptic number.

It is an amenable number.

72730858005 is an abundant number, since it is smaller than the sum of its proper divisors (85737386475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72730858005 is a wasteful number, since it uses less digits than its factorization.

72730858005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 72730858005 in words is "seventy-two billion, seven hundred thirty million, eight hundred fifty-eight thousand, five".