724128480 has 144 divisors (see below), whose sum is σ = 2538061344. Its totient is φ = 187868160.

The previous prime is 724128479. The next prime is 724128491. The reversal of 724128480 is 84821427.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×724128480² = 1048724111094220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46485 + ... + 60075.

It is an arithmetic number, because the mean of its divisors is an integer number (17625426).

Almost surely, 2^724128480 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 724128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269030672).

724128480 is an abundant number, since it is smaller than the sum of its proper divisors (1813932864).

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

724128480 is a wasteful number, since it uses less digits than its factorization.

724128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 724128480 is about 26909.6354490357. The cubic root of 724128480 is about 897.9907770674.

It can be divided in two parts, 7241 and 28480, that added together give a square (35721 = 189²).

The spelling of 724128480 in words is "seven hundred twenty-four million, one hundred twenty-eight thousand, four hundred eighty".