726528 has 80 divisors (see below), whose sum is σ = 2160576. Its totient is φ = 215040.

The previous prime is 726527. The next prime is 726533. The reversal of 726528 is 825627.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 726495 and 726504.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726528.

It is not an unprimeable number, because it can be changed into a prime (726521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16875 + ... + 16917.

2⁷²⁶⁵²⁸ 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 726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080288).

726528 is an abundant number, since it is smaller than the sum of its proper divisors (1434048).

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

726528 is a wasteful number, since it uses less digits than its factorization.

726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 726528 is about 852.3661185195. The cubic root of 726528 is about 89.8981564026.

Subtracting 726528 from its reverse (825627), we obtain a palindrome (99099).

The spelling of 726528 in words is "seven hundred twenty-six thousand, five hundred twenty-eight".