726354552 has 192 divisors, whose sum is σ = 2345068800. Its totient is φ = 182131200.

The previous prime is 726354509. The next prime is 726354557. The reversal of 726354552 is 255453627.

It is a happy number.

726354552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×726354552² = 1055181870422241408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 726354552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726354557) 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, 1775724 + ... + 1776132.

It is an arithmetic number, because the mean of its divisors is an integer number (12213900).

Almost surely, 2^726354552 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 726354552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172534400).

726354552 is an abundant number, since it is smaller than the sum of its proper divisors (1618714248).

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

726354552 is a wasteful number, since it uses less digits than its factorization.

726354552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 463 counting only the distinct ones).

The product of its digits is 252000, while the sum is 39.

The square root of 726354552 is about 26950.9656969838. The cubic root of 726354552 is about 898.9100187388.

It can be divided in two parts, 726 and 354552, that multiplied together give a palindrome (257404752).

The spelling of 726354552 in words is "seven hundred twenty-six million, three hundred fifty-four thousand, five hundred fifty-two".