724125556 has 72 divisors (see below), whose sum is σ = 1603683648. Its totient is φ = 277929600.

The previous prime is 724125509. The next prime is 724125599. The reversal of 724125556 is 655521427.

724125556 = T₁₂₅ + T₁₂₆ + ... + T₁₆₃₁.

724125556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5285520 + ... + 5285656.

It is an arithmetic number, because the mean of its divisors is an integer number (22273384).

Almost surely, 2^724125556 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 724125556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801841824).

724125556 is an abundant number, since it is smaller than the sum of its proper divisors (879558092).

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

724125556 is a wasteful number, since it uses less digits than its factorization.

724125556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 288 counting only the distinct ones).

The product of its digits is 84000, while the sum is 37.

The square root of 724125556 is about 26909.5811189992. The cubic root of 724125556 is about 897.9895683829.

It can be divided in two parts, 72 and 4125556, that added together give a triangular number (4125628 = T₂₈₇₂).

The spelling of 724125556 in words is "seven hundred twenty-four million, one hundred twenty-five thousand, five hundred fifty-six".