726547224 has 192 divisors, whose sum is σ = 2141627040. Its totient is φ = 204472320.

The previous prime is 726547201. The next prime is 726547249. The reversal of 726547224 is 422745627.

It is a happy number.

726547224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2826904 + ... + 2827160.

Almost surely, 2^726547224 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 726547224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070813520).

726547224 is an abundant number, since it is smaller than the sum of its proper divisors (1415079816).

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

726547224 is a wasteful number, since it uses less digits than its factorization.

726547224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 726547224 is about 26954.5399515555. The cubic root of 726547224 is about 898.9894930025.

It can be divided in two parts, 726 and 547224, that multiplied together give a square (397284624 = 19932²).

The spelling of 726547224 in words is "seven hundred twenty-six million, five hundred forty-seven thousand, two hundred twenty-four".