724064 has 48 divisors (see below), whose sum is σ = 1660176. Its totient is φ = 309760.

The previous prime is 724021. The next prime is 724079. The reversal of 724064 is 460427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42584 + ... + 42600.

It is an arithmetic number, because the mean of its divisors is an integer number (34587).

2⁷²⁴⁰⁶⁴ 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 724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830088).

724064 is an abundant number, since it is smaller than the sum of its proper divisors (936112).

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

724064 is a wasteful number, since it uses less digits than its factorization.

724064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 724064 is about 850.9195026558. The cubic root of 724064 is about 89.7964122422.

The spelling of 724064 in words is "seven hundred twenty-four thousand, sixty-four".