726456601 has 8 divisors (see below), whose sum is σ = 782800704. Its totient is φ = 670178640.

The previous prime is 726456589. The next prime is 726456677. The reversal of 726456601 is 106654627.

It is a happy number.

726456601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 726456601 - 2¹⁵ = 726423833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (726456691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596 + ... + 38866.

It is an arithmetic number, because the mean of its divisors is an integer number (97850088).

Almost surely, 2^726456601 is an apocalyptic number.

It is an amenable number.

726456601 is a deficient number, since it is larger than the sum of its proper divisors (56344103).

726456601 is a wasteful number, since it uses less digits than its factorization.

726456601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33071.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 726456601 is about 26952.8588650629. The cubic root of 726456601 is about 898.9521141464.

The spelling of 726456601 in words is "seven hundred twenty-six million, four hundred fifty-six thousand, six hundred one".