726952224 has 48 divisors (see below), whose sum is σ = 1915915680. Its totient is φ = 241344000.

The previous prime is 726952223. The next prime is 726952297. The reversal of 726952224 is 422259627.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (726952223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9012 + ... + 39180.

It is an arithmetic number, because the mean of its divisors is an integer number (39914910).

Almost surely, 2^726952224 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 726952224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957957840).

726952224 is an abundant number, since it is smaller than the sum of its proper divisors (1188963456).

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

726952224 is a wasteful number, since it uses less digits than its factorization.

726952224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30433 (or 30425 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 726952224 is about 26962.0515539897. The cubic root of 726952224 is about 899.1565035338.

The spelling of 726952224 in words is "seven hundred twenty-six million, nine hundred fifty-two thousand, two hundred twenty-four".