726273372627 has 32 divisors (see below), whose sum is σ = 1205498818560. Its totient is φ = 428269304160.

The previous prime is 726273372589. The next prime is 726273372661.

It is a happy number.

726273372627 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 7 + 3 + 3 + 7 + 2 + 627 = 666.

726273372627 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 726273372627 - 2⁶ = 726273372563 is a prime.

It is a super-2 number, since 2×726273372627² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (726273372677) 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 31 ways as a sum of consecutive naturals, for example, 33034483 + ... + 33056460.

It is an arithmetic number, because the mean of its divisors is an integer number (37671838080).

Almost surely, 2^726273372627 is an apocalyptic number.

726273372627 is a deficient number, since it is larger than the sum of its proper divisors (479225445933).

726273372627 is a wasteful number, since it uses less digits than its factorization.

726273372627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66091000 (or 66090994 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 54.

The spelling of 726273372627 in words is "seven hundred twenty-six billion, two hundred seventy-three million, three hundred seventy-two thousand, six hundred twenty-seven".