724739841 has 72 divisors (see below), whose sum is σ = 1281781800. Its totient is φ = 392878080.

The previous prime is 724739837. The next prime is 724739843. The reversal of 724739841 is 148937427.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 690165441 = 5880^2 + 26271^2 .

It is not a de Polignac number, because 724739841 - 2² = 724739837 is a prime.

It is not an unprimeable number, because it can be changed into a prime (724739843) 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 71 ways as a sum of consecutive naturals, for example, 779665 + ... + 780593.

It is an arithmetic number, because the mean of its divisors is an integer number (17802525).

Almost surely, 2^724739841 is an apocalyptic number.

It is an amenable number.

724739841 is a deficient number, since it is larger than the sum of its proper divisors (557041959).

724739841 is a wasteful number, since it uses less digits than its factorization.

724739841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 724739841 is about 26920.9925708544. The cubic root of 724739841 is about 898.2434219715.

The spelling of 724739841 in words is "seven hundred twenty-four million, seven hundred thirty-nine thousand, eight hundred forty-one".