726719040 has 420 divisors, whose sum is σ = 2753336124. Its totient is φ = 181868544.

The previous prime is 726719027. The next prime is 726719089. The reversal of 726719040 is 40917627.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 394896384 + 331822656 = 19872^2 + 18216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 726718986 and 726719004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13711654 + ... + 13711706.

Almost surely, 2^726719040 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 726719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376668062).

726719040 is an abundant number, since it is smaller than the sum of its proper divisors (2026617084).

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

726719040 is a wasteful number, since it uses less digits than its factorization.

726719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 726719040 is about 26957.7269071411. The cubic root of 726719040 is about 899.0603526334.

The spelling of 726719040 in words is "seven hundred twenty-six million, seven hundred nineteen thousand, forty".