726011600 has 60 divisors (see below), whose sum is σ = 1786825740. Its totient is φ = 283315200.

The previous prime is 726011597. The next prime is 726011609. The reversal of 726011600 is 6110627.

It can be written as a sum of positive squares in 6 ways, for example, as 6270016 + 719741584 = 2504^2 + 26828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726011609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5735 + ... + 38534.

It is an arithmetic number, because the mean of its divisors is an integer number (29780429).

Almost surely, 2^726011600 is an apocalyptic number.

It is an amenable number.

726011600 is an abundant number, since it is smaller than the sum of its proper divisors (1060814140).

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

726011600 is a wasteful number, since it uses less digits than its factorization.

726011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44328 (or 44317 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 726011600 is about 26944.6024279446. The cubic root of 726011600 is about 898.7685214862.

The spelling of 726011600 in words is "seven hundred twenty-six million, eleven thousand, six hundred".