726123840 has 224 divisors, whose sum is σ = 2516282496. Its totient is φ = 176332800.

The previous prime is 726123833. The next prime is 726123841. The reversal of 726123840 is 48321627.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726123841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035490 + ... + 1036190.

It is an arithmetic number, because the mean of its divisors is an integer number (11233404).

Almost surely, 2^726123840 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 726123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258141248).

726123840 is an abundant number, since it is smaller than the sum of its proper divisors (1790158656).

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

726123840 is a wasteful number, since it uses less digits than its factorization.

726123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 726123840 is about 26946.6851393636. The cubic root of 726123840 is about 898.8148350624.

The spelling of 726123840 in words is "seven hundred twenty-six million, one hundred twenty-three thousand, eight hundred forty".