726870144 has 512 divisors, whose sum is σ = 2719825920. Its totient is φ = 165888000.

The previous prime is 726870121. The next prime is 726870161. The reversal of 726870144 is 441078627.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11915874 + ... + 11915934.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^726870144 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 726870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359912960).

726870144 is an abundant number, since it is smaller than the sum of its proper divisors (1992955776).

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

726870144 is a wasteful number, since it uses less digits than its factorization.

726870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 726870144 is about 26960.5293716574. The cubic root of 726870144 is about 899.1226610789.

The spelling of 726870144 in words is "seven hundred twenty-six million, eight hundred seventy thousand, one hundred forty-four".