726072705801 has 27 divisors (see below), whose sum is σ = 1052793317901. Its totient is φ = 482199415704.

The previous prime is 726072705769. The next prime is 726072705811. The reversal of 726072705801 is 108507270627.

The square root of 726072705801 is 852099.

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

726072705801 is a `hidden beast` number, since 7 + 2 + 60 + 7 + 2 + 7 + 0 + 580 + 1 = 666.

It is not a de Polignac number, because 726072705801 - 2⁵ = 726072705769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (726072705811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1122214060 + ... + 1122214706.

Almost surely, 2^726072705801 is an apocalyptic number.

726072705801 is the 852099-th square number.

726072705801 is the 426050-th centered octagonal number.

It is an amenable number.

726072705801 is a deficient number, since it is larger than the sum of its proper divisors (326720612100).

726072705801 is an frugal number, since it uses more digits than its factorization.

726072705801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 726072705801 in words is "seven hundred twenty-six billion, seventy-two million, seven hundred five thousand, eight hundred one".