9752094720 has 144 divisors (see below), whose sum is σ = 33799327380. Its totient is φ = 2600534016.

The previous prime is 9752094713. The next prime is 9752094733. The reversal of 9752094720 is 274902579.

It can be written as a sum of positive squares in 2 ways, for example, as 9234441216 + 517653504 = 96096^2 + 22752^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39252 + ... + 145068.

Almost surely, 2^9752094720 is an apocalyptic number.

9752094720 is a gapful number since it is divisible by the number (90) 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 9752094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899663690).

9752094720 is an abundant number, since it is smaller than the sum of its proper divisors (24047232660).

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

9752094720 is a wasteful number, since it uses less digits than its factorization.

9752094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105850 (or 105827 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9752094720 is about 98752.6947480422. The cubic root of 9752094720 is about 2136.4823217502.

The spelling of 9752094720 in words is "nine billion, seven hundred fifty-two million, ninety-four thousand, seven hundred twenty".