726312006 has 36 divisors (see below), whose sum is σ = 1830604932. Its totient is φ = 207517464.

The previous prime is 726311983. The next prime is 726312023. The reversal of 726312006 is 600213627.

It is a happy number.

726312006 is a `hidden beast` number, since 7 + 2 + 631 + 20 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 410860 + ... + 412623.

It is an arithmetic number, because the mean of its divisors is an integer number (50850137).

Almost surely, 2^726312006 is an apocalyptic number.

726312006 is an abundant number, since it is smaller than the sum of its proper divisors (1104292926).

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

726312006 is a wasteful number, since it uses less digits than its factorization.

726312006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823505 (or 823495 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 726312006 is about 26950.1763630593. The cubic root of 726312006 is about 898.8924672679.

The spelling of 726312006 in words is "seven hundred twenty-six million, three hundred twelve thousand, six".