726519948 has 192 divisors, whose sum is σ = 2303078400. Its totient is φ = 172488960.

The previous prime is 726519917. The next prime is 726519949. The reversal of 726519948 is 849915627.

It is a Smith number, since the sum of its digits (51) 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 726519948.

It is not an unprimeable number, because it can be changed into a prime (726519949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508411 + ... + 509837.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2^726519948 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 726519948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151539200).

726519948 is an abundant number, since it is smaller than the sum of its proper divisors (1576558452).

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

726519948 is a wasteful number, since it uses less digits than its factorization.

726519948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1498 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 726519948 is about 26954.0339838029. The cubic root of 726519948 is about 898.9782429220.

The spelling of 726519948 in words is "seven hundred twenty-six million, five hundred nineteen thousand, nine hundred forty-eight".