726180 has 144 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 145152.

The previous prime is 726169. The next prime is 726181. The reversal of 726180 is 81627.

726180 is nontrivially palindromic in base 11.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a self number, because there is not a number n which added to its sum of digits gives 726180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38211 + ... + 38229.

It is an arithmetic number, because the mean of its divisors is an integer number (18620).

2⁷²⁶¹⁸⁰ is an apocalyptic number.

726180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

726180 is an abundant number, since it is smaller than the sum of its proper divisors (1955100).

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

726180 is a wasteful number, since it uses less digits than its factorization.

726180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 726180 is about 852.1619564379. The cubic root of 726180 is about 89.8838006564.

The spelling of 726180 in words is "seven hundred twenty-six thousand, one hundred eighty".