726138144 has 72 divisors (see below), whose sum is σ = 2098857852. Its totient is φ = 238072320.

The previous prime is 726138139. The next prime is 726138151. The reversal of 726138144 is 441831627.

It can be written as a sum of positive squares in 2 ways, for example, as 725763600 + 374544 = 26940^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 726138099 and 726138108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3099 + ... + 38234.

Almost surely, 2^726138144 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 726138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049428926).

726138144 is an abundant number, since it is smaller than the sum of its proper divisors (1372719708).

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

726138144 is a wasteful number, since it uses less digits than its factorization.

726138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41410 (or 41399 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 726138144 is about 26946.9505510364. The cubic root of 726138144 is about 898.8207369772.

The spelling of 726138144 in words is "seven hundred twenty-six million, one hundred thirty-eight thousand, one hundred forty-four".