720625752 has 288 divisors, whose sum is σ = 2560896000. Its totient is φ = 180835200.

The previous prime is 720625751. The next prime is 720625781. The reversal of 720625752 is 257526027.

720625752 is a `hidden beast` number, since 7 + 20 + 62 + 575 + 2 = 666.

720625752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720625751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202749 + ... + 1203347.

It is an arithmetic number, because the mean of its divisors is an integer number (8892000).

Almost surely, 2^720625752 is an apocalyptic number.

720625752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720625752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280448000).

720625752 is an abundant number, since it is smaller than the sum of its proper divisors (1840270248).

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

720625752 is a wasteful number, since it uses less digits than its factorization.

720625752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 720625752 is about 26844.4733977033. The cubic root of 720625752 is about 896.5405267174.

The spelling of 720625752 in words is "seven hundred twenty million, six hundred twenty-five thousand, seven hundred fifty-two".