726624 has 72 divisors (see below), whose sum is σ = 2194920. Its totient is φ = 233856.

The previous prime is 726623. The next prime is 726629. The reversal of 726624 is 426627.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25042 + ... + 25070.

It is an arithmetic number, because the mean of its divisors is an integer number (30485).

2⁷²⁶⁶²⁴ 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 726624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097460).

726624 is an abundant number, since it is smaller than the sum of its proper divisors (1468296).

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

726624 is a wasteful number, since it uses less digits than its factorization.

726624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 726624 is about 852.4224304885. The cubic root of 726624 is about 89.9021158017.

The spelling of 726624 in words is "seven hundred twenty-six thousand, six hundred twenty-four".