726256640 has 88 divisors (see below), whose sum is σ = 1764186480. Its totient is φ = 286834688.

The previous prime is 726256637. The next prime is 726256649. The reversal of 726256640 is 46652627.

It is a junction number, because it is equal to n+sod(n) for n = 726256594 and 726256603.

It is not an unprimeable number, because it can be changed into a prime (726256649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424106 + ... + 425814.

Almost surely, 2^726256640 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 726256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882093240).

726256640 is an abundant number, since it is smaller than the sum of its proper divisors (1037929840).

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

726256640 is a wasteful number, since it uses less digits than its factorization.

726256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 726256640 is about 26949.1491516894. The cubic root of 726256640 is about 898.8696261451.

The spelling of 726256640 in words is "seven hundred twenty-six million, two hundred fifty-six thousand, six hundred forty".