726071040 has 360 divisors, whose sum is σ = 2671099200. Its totient is φ = 188227584.

The previous prime is 726071033. The next prime is 726071053. The reversal of 726071040 is 40170627.

726071040 is a `hidden beast` number, since 7 + 2 + 607 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 726070995 and 726071013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4872886 + ... + 4873034.

It is an arithmetic number, because the mean of its divisors is an integer number (7419720).

Almost surely, 2^726071040 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 726071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335549600).

726071040 is an abundant number, since it is smaller than the sum of its proper divisors (1945028160).

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

726071040 is a wasteful number, since it uses less digits than its factorization.

726071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 726071040 is about 26945.7054092113. The cubic root of 726071040 is about 898.7930488000.

The spelling of 726071040 in words is "seven hundred twenty-six million, seventy-one thousand, forty".