726434144 has 48 divisors (see below), whose sum is σ = 1511622000. Its totient is φ = 342687744.

The previous prime is 726434101. The next prime is 726434147. The reversal of 726434144 is 441434627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726434147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 153932 + ... + 158580.

It is an arithmetic number, because the mean of its divisors is an integer number (31492125).

Almost surely, 2^726434144 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 726434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755811000).

726434144 is an abundant number, since it is smaller than the sum of its proper divisors (785187856).

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

726434144 is a wasteful number, since it uses less digits than its factorization.

726434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935 (or 4927 counting only the distinct ones).

The product of its digits is 64512, while the sum is 35.

The square root of 726434144 is about 26952.4422641066. The cubic root of 726434144 is about 898.9428509293.

The spelling of 726434144 in words is "seven hundred twenty-six million, four hundred thirty-four thousand, one hundred forty-four".