726313600 has 96 divisors (see below), whose sum is σ = 1825106400. Its totient is φ = 285527040.

The previous prime is 726313571. The next prime is 726313657. The reversal of 726313600 is 6313627.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186877 + ... + 190723.

It is an arithmetic number, because the mean of its divisors is an integer number (19011525).

Almost surely, 2^726313600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912553200).

726313600 is an abundant number, since it is smaller than the sum of its proper divisors (1098792800).

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

726313600 is a wasteful number, since it uses less digits than its factorization.

726313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 726313600 is about 26950.2059361334. The cubic root of 726313600 is about 898.8931248519.

The spelling of 726313600 in words is "seven hundred twenty-six million, three hundred thirteen thousand, six hundred".