726708042 has 48 divisors (see below), whose sum is σ = 1633905000. Its totient is φ = 233154432.

The previous prime is 726708019. The next prime is 726708089. The reversal of 726708042 is 240807627.

726708042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 673869681 + 52838361 = 25959^2 + 7269^2 .

It is a super-4 number, since 4×726708042⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 726707988 and 726708006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180184 + ... + 184172.

Almost surely, 2^726708042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726708042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816952500).

726708042 is an abundant number, since it is smaller than the sum of its proper divisors (907196958).

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

726708042 is a wasteful number, since it uses less digits than its factorization.

726708042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 726708042 is about 26957.5229203278. The cubic root of 726708042 is about 899.0558172192.

The spelling of 726708042 in words is "seven hundred twenty-six million, seven hundred eight thousand, forty-two".