726372 has 18 divisors (see below), whose sum is σ = 1836198. Its totient is φ = 242112.

The previous prime is 726371. The next prime is 726377. The reversal of 726372 is 273627.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 60516 = 816^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (726371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10053 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (102011).

2⁷²⁶³⁷² is an apocalyptic number.

It is an amenable number.

726372 is an abundant number, since it is smaller than the sum of its proper divisors (1109826).

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

726372 is a wasteful number, since it uses less digits than its factorization.

726372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187 (or 20182 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 726372 is about 852.2746036343. The cubic root of 726372 is about 89.8917216352.

Adding to 726372 its reverse (273627), we get a palindrome (999999).

It can be divided in two parts, 726 and 372, that multiplied together give a palindrome (270072).

The spelling of 726372 in words is "seven hundred twenty-six thousand, three hundred seventy-two".