724710144 has 72 divisors (see below), whose sum is σ = 1947032640. Its totient is φ = 239285248.

The previous prime is 724710131. The next prime is 724710169. The reversal of 724710144 is 441017427.

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 7 ways as a sum of consecutive naturals, for example, 77767 + ... + 86585.

It is an arithmetic number, because the mean of its divisors is an integer number (27042120).

Almost surely, 2^724710144 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 724710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973516320).

724710144 is an abundant number, since it is smaller than the sum of its proper divisors (1222322496).

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

724710144 is a wasteful number, since it uses less digits than its factorization.

724710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 724710144 is about 26920.4410067889. The cubic root of 724710144 is about 898.2311529716.

It can be divided in two parts, 7247 and 10144, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 724710144 in words is "seven hundred twenty-four million, seven hundred ten thousand, one hundred forty-four".