727746113265723 has 48 divisors (see below), whose sum is σ = 1114147738398240. Its totient is φ = 456931855296000.

The previous prime is 727746113265659. The next prime is 727746113265749. The reversal of 727746113265723 is 327562311647727.

727746113265723 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 4 + 611 + 3 + 2 + 6 + 5 + 7 + 2 + 3 = 666.

It is not a de Polignac number, because 727746113265723 - 2⁶ = 727746113265659 is a prime.

It is a super-2 number, since 2×727746113265723² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (727746113263723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57641073 + ... + 69122973.

It is an arithmetic number, because the mean of its divisors is an integer number (23211411216630).

Almost surely, 2^{727746113265723} is an apocalyptic number.

727746113265723 is a deficient number, since it is larger than the sum of its proper divisors (386401625132517).

727746113265723 is a wasteful number, since it uses less digits than its factorization.

727746113265723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487900 (or 11487897 counting only the distinct ones).

The product of its digits is 124467840, while the sum is 63.

The spelling of 727746113265723 in words is "seven hundred twenty-seven trillion, seven hundred forty-six billion, one hundred thirteen million, two hundred sixty-five thousand, seven hundred twenty-three".