724672 has 42 divisors (see below), whose sum is σ = 1580388. Its totient is φ = 329472.

The previous prime is 724651. The next prime is 724721. The reversal of 724672 is 276427.

It is a self number, because there is not a number n which added to its sum of digits gives 724672.

It is an unprimeable number.

724672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10783 + ... + 10849.

2⁷²⁴⁶⁷² 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 724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790194).

724672 is an abundant number, since it is smaller than the sum of its proper divisors (855716).

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

724672 is a wasteful number, since it uses less digits than its factorization.

724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 724672 is about 851.2766882747. The cubic root of 724672 is about 89.8215393692.

The spelling of 724672 in words is "seven hundred twenty-four thousand, six hundred seventy-two".