724381728 has 96 divisors (see below), whose sum is σ = 2178368640. Its totient is φ = 206469120.

The previous prime is 724381717. The next prime is 724381739. The reversal of 724381728 is 827183427.

It is an interprime number because it is at equal distance from previous prime (724381717) and next prime (724381739).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 724381728.

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 15 ways as a sum of consecutive naturals, for example, 349078 + ... + 351146.

It is an arithmetic number, because the mean of its divisors is an integer number (22691340).

Almost surely, 2^724381728 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 724381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089184320).

724381728 is an abundant number, since it is smaller than the sum of its proper divisors (1453986912).

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

724381728 is a wasteful number, since it uses less digits than its factorization.

724381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2602 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 724381728 is about 26914.3405640933. The cubic root of 724381728 is about 898.0954490369.

The spelling of 724381728 in words is "seven hundred twenty-four million, three hundred eighty-one thousand, seven hundred twenty-eight".