726548064 has 96 divisors (see below), whose sum is σ = 2114864640. Its totient is φ = 216537600.

The previous prime is 726548063. The next prime is 726548099. The reversal of 726548064 is 460845627.

726548064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×726548064³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726548063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58777 + ... + 70055.

It is an arithmetic number, because the mean of its divisors is an integer number (22029840).

Almost surely, 2^726548064 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 726548064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057432320).

726548064 is an abundant number, since it is smaller than the sum of its proper divisors (1388316576).

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

726548064 is a wasteful number, since it uses less digits than its factorization.

726548064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 726548064 is about 26954.5555333417. Note that the first 4 decimals coincide. The cubic root of 726548064 is about 898.9898394589.

The spelling of 726548064 in words is "seven hundred twenty-six million, five hundred forty-eight thousand, sixty-four".