724916416 has 56 divisors (see below), whose sum is σ = 1668613376. Its totient is φ = 306028800.

The previous prime is 724916371. The next prime is 724916417. The reversal of 724916416 is 614619427.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (724916417) 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 7 ways as a sum of consecutive naturals, for example, 17941 + ... + 42091.

Almost surely, 2^724916416 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 724916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834306688).

724916416 is an abundant number, since it is smaller than the sum of its proper divisors (943696960).

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

724916416 is a wasteful number, since it uses less digits than its factorization.

724916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237 (or 24227 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 724916416 is about 26924.2718750201. The cubic root of 724916416 is about 898.3163651363.

The spelling of 724916416 in words is "seven hundred twenty-four million, nine hundred sixteen thousand, four hundred sixteen".