720848128 has 288 divisors, whose sum is σ = 2019144960. Its totient is φ = 247726080.

The previous prime is 720848123. The next prime is 720848137. The reversal of 720848128 is 821848027.

It is a super-2 number, since 2×720848128² = 1039244047282208768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720848123) 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 31 ways as a sum of consecutive naturals, for example, 7431376 + ... + 7431472.

It is an arithmetic number, because the mean of its divisors is an integer number (7010920).

Almost surely, 2^720848128 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 720848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009572480).

720848128 is an abundant number, since it is smaller than the sum of its proper divisors (1298296832).

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

720848128 is a wasteful number, since it uses less digits than its factorization.

720848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 720848128 is about 26848.6150108344. The cubic root of 720848128 is about 896.6327375918.

It can be divided in two parts, 720 and 848128, that added together give a palindrome (848848).

The spelling of 720848128 in words is "seven hundred twenty million, eight hundred forty-eight thousand, one hundred twenty-eight".