726153210 has 96 divisors (see below), whose sum is σ = 2015694720. Its totient is φ = 180835200.

The previous prime is 726153199. The next prime is 726153223. The reversal of 726153210 is 12351627.

It is a happy number.

726153210 is a `hidden beast` number, since 7 + 2 + 615 + 32 + 10 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118420 + ... + 124400.

It is an arithmetic number, because the mean of its divisors is an integer number (20996820).

Almost surely, 2^726153210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726153210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007847360).

726153210 is an abundant number, since it is smaller than the sum of its proper divisors (1289541510).

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

726153210 is a wasteful number, since it uses less digits than its factorization.

726153210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 726153210 is about 26947.2300988432. The cubic root of 726153210 is about 898.8269532138.

The spelling of 726153210 in words is "seven hundred twenty-six million, one hundred fifty-three thousand, two hundred ten".