723528 has 48 divisors (see below), whose sum is σ = 2113020. Its totient is φ = 222336.

The previous prime is 723493. The next prime is 723529. The reversal of 723528 is 825327.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 142884 = 762^2 + 378^2 .

It is not an unprimeable number, because it can be changed into a prime (723529) by changing a digit.

723528 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 550 + ... + 1322.

2⁷²³⁵²⁸ is an apocalyptic number.

723528 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 723528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056510).

723528 is an abundant number, since it is smaller than the sum of its proper divisors (1389492).

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

723528 is a wasteful number, since it uses less digits than its factorization.

723528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 723528 is about 850.6044909357. The cubic root of 723528 is about 89.7742490271.

It can be divided in two parts, 72 and 3528, that multiplied together give a square (254016 = 504²).

The spelling of 723528 in words is "seven hundred twenty-three thousand, five hundred twenty-eight".