726528100 has 18 divisors (see below), whose sum is σ = 1576566194. Its totient is φ = 290611200.

The previous prime is 726528083. The next prime is 726528107. The reversal of 726528100 is 1825627.

726528100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 62125924 + 664402176 = 7882^2 + 25776^2 .

It is a super-2 number, since 2×726528100² = 1055686160179220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (726528107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3632541 + ... + 3632740.

Almost surely, 2^726528100 is an apocalyptic number.

It is an amenable number.

726528100 is an abundant number, since it is smaller than the sum of its proper divisors (850038094).

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

726528100 is a wasteful number, since it uses less digits than its factorization.

726528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265295 (or 7265288 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 726528100 is about 26954.1852037861. The cubic root of 726528100 is about 898.9816052721.

The spelling of 726528100 in words is "seven hundred twenty-six million, five hundred twenty-eight thousand, one hundred".