726385968 has 400 divisors, whose sum is σ = 2722325760. Its totient is φ = 181440000.

The previous prime is 726385951. The next prime is 726386021. The reversal of 726385968 is 869583627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893843 + ... + 2894093.

Almost surely, 2^726385968 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 726385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361162880).

726385968 is an abundant number, since it is smaller than the sum of its proper divisors (1995939792).

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

726385968 is a wasteful number, since it uses less digits than its factorization.

726385968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 726385968 is about 26951.5485269400. The cubic root of 726385968 is about 898.9229783189.

It can be divided in two parts, 72638 and 5968, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 726385968 in words is "seven hundred twenty-six million, three hundred eighty-five thousand, nine hundred sixty-eight".