726356772 has 18 divisors (see below), whose sum is σ = 1836068598. Its totient is φ = 242118912.

The previous prime is 726356747. The next prime is 726356783. The reversal of 726356772 is 277653627.

726356772 is a `hidden beast` number, since 7 + 2 + 635 + 6 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 467597376 + 258759396 = 21624^2 + 16086^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10088253 + ... + 10088324.

It is an arithmetic number, because the mean of its divisors is an integer number (102003811).

Almost surely, 2^726356772 is an apocalyptic number.

It is an amenable number.

726356772 is an abundant number, since it is smaller than the sum of its proper divisors (1109711826).

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

726356772 is a wasteful number, since it uses less digits than its factorization.

726356772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20176587 (or 20176582 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 726356772 is about 26951.0068828606. The cubic root of 726356772 is about 898.9109345350.

The spelling of 726356772 in words is "seven hundred twenty-six million, three hundred fifty-six thousand, seven hundred seventy-two".