726100 has 36 divisors (see below), whose sum is σ = 1617084. Its totient is φ = 282880.

The previous prime is 726097. The next prime is 726101. The reversal of 726100 is 1627.

726100 = T₆₇ + T₆₈ + ... + T₁₆₆.

It can be written as a sum of positive squares in 6 ways, for example, as 196 + 725904 = 14^2 + 852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726101) 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, 5232 + ... + 5368.

It is an arithmetic number, because the mean of its divisors is an integer number (44919).

2⁷²⁶¹⁰⁰ 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 726100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808542).

726100 is an abundant number, since it is smaller than the sum of its proper divisors (890984).

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

726100 is a wasteful number, since it uses less digits than its factorization.

726100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 726100 is about 852.1150157109. The cubic root of 726100 is about 89.8804998366.

Adding to 726100 its reverse (1627), we get a palindrome (727727).

The spelling of 726100 in words is "seven hundred twenty-six thousand, one hundred".