727610706001 has 9 divisors (see below), whose sum is σ = 760641909321. Its totient is φ = 695956691892.

The previous prime is 727610705993. The next prime is 727610706013. The reversal of 727610706001 is 100607016727.

The square root of 727610706001 is 853001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 727610706001 - 2³ = 727610705993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (727610700001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19600480 + ... + 19637566.

Almost surely, 2^727610706001 is an apocalyptic number.

727610706001 is the 853001-st square number.

727610706001 is the 426501-st centered octagonal number.

It is an amenable number.

727610706001 is a deficient number, since it is larger than the sum of its proper divisors (33031203320).

727610706001 is an frugal number, since it uses more digits than its factorization.

727610706001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74220 (or 37110 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 727610706001 in words is "seven hundred twenty-seven billion, six hundred ten million, seven hundred six thousand, one".