1752720640 has 144 divisors (see below), whose sum is σ = 4606652736. Its totient is φ = 633651200.

The previous prime is 1752720577. The next prime is 1752720643. The reversal of 1752720640 is 460272571.

It is a junction number, because it is equal to n+sod(n) for n = 1752720596 and 1752720605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1752720643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3956259 + ... + 3956701.

It is an arithmetic number, because the mean of its divisors is an integer number (31990644).

Almost surely, 2^1752720640 is an apocalyptic number.

1752720640 is a gapful number since it is divisible by the number (10) 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 1752720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303326368).

1752720640 is an abundant number, since it is smaller than the sum of its proper divisors (2853932096).

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

1752720640 is a wasteful number, since it uses less digits than its factorization.

1752720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 1752720640 is about 41865.5065656681. The cubic root of 1752720640 is about 1205.6952972652.

The spelling of 1752720640 in words is "one billion, seven hundred fifty-two million, seven hundred twenty thousand, six hundred forty".