724842 has 32 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 233280.

The previous prime is 724837. The next prime is 724847. The reversal of 724842 is 248427.

It is an interprime number because it is at equal distance from previous prime (724837) and next prime (724847).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 724842.

It is not an unprimeable number, because it can be changed into a prime (724847) by changing a digit.

724842 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2⁷²⁴⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

724842 is an abundant number, since it is smaller than the sum of its proper divisors (941718).

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

724842 is a wasteful number, since it uses less digits than its factorization.

724842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 724842 is about 851.3765324461. The cubic root of 724842 is about 89.8285625317.

The spelling of 724842 in words is "seven hundred twenty-four thousand, eight hundred forty-two".