724206 has 32 divisors (see below), whose sum is σ = 1698048. Its totient is φ = 201600.

The previous prime is 724187. The next prime is 724211. The reversal of 724206 is 602427.

724206 = 424² + 425² + ... + 427².

It is a happy number.

724206 is a nontrivial binomial coefficient, being equal to C(1204, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 724206.

It is an unprimeable 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, 1606 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (53064).

2⁷²⁴²⁰⁶ is an apocalyptic number.

724206 is the 1203-rd triangular number and also the 602-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849024).

724206 is an abundant number, since it is smaller than the sum of its proper divisors (973842).

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

724206 is a wasteful number, since it uses less digits than its factorization.

724206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 724206 is about 851.0029377153. The cubic root of 724206 is about 89.8022820074.

It can be divided in two parts, 72 and 4206, that added together give a triangular number (4278 = T₉₂).

The spelling of 724206 in words is "seven hundred twenty-four thousand, two hundred six".