724724 has 48 divisors (see below), whose sum is σ = 1712256. Its totient is φ = 259200.

The previous prime is 724723. The next prime is 724729. The reversal of 724724 is 427427.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 724693 and 724702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3914 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁷²⁴⁷²⁴ 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 724724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856128).

724724 is an abundant number, since it is smaller than the sum of its proper divisors (987532).

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

724724 is a wasteful number, since it uses less digits than its factorization.

724724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 214 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 724724 is about 851.3072300879. The cubic root of 724724 is about 89.8236877472.

The spelling of 724724 in words is "seven hundred twenty-four thousand, seven hundred twenty-four", and thus it is an iban number.