724900 has 36 divisors (see below), whose sum is σ = 1718640. Its totient is φ = 263200.

The previous prime is 724879. The next prime is 724901. The reversal of 724900 is 9427.

724900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (724901) 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, 771 + ... + 1429.

It is an arithmetic number, because the mean of its divisors is an integer number (47740).

2⁷²⁴⁹⁰⁰ 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 724900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320).

724900 is an abundant number, since it is smaller than the sum of its proper divisors (993740).

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

724900 is a wasteful number, since it uses less digits than its factorization.

724900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 724900 is about 851.4105942493. The cubic root of 724900 is about 89.8309584183.

The spelling of 724900 in words is "seven hundred twenty-four thousand, nine hundred".