726848192 has 112 divisors (see below), whose sum is σ = 1837578240. Its totient is φ = 277696512.

The previous prime is 726848191. The next prime is 726848203. The reversal of 726848192 is 291848627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (726848191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142193 + ... + 147215.

Almost surely, 2^726848192 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 726848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918789120).

726848192 is an abundant number, since it is smaller than the sum of its proper divisors (1110730048).

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

726848192 is a wasteful number, since it uses less digits than its factorization.

726848192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 5068 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 726848192 is about 26960.1222549157. The cubic root of 726848192 is about 899.1136096045.

The spelling of 726848192 in words is "seven hundred twenty-six million, eight hundred forty-eight thousand, one hundred ninety-two".