9828120072 has 32 divisors (see below), whose sum is σ = 24585573600. Its totient is φ = 3274003584.

The previous prime is 9828120017. The next prime is 9828120077. The reversal of 9828120072 is 2700218289.

It is a super-3 number, since 3×9828120072³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9828120072.

It is not an unprimeable number, because it can be changed into a prime (9828120077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87613 + ... + 165324.

It is an arithmetic number, because the mean of its divisors is an integer number (768299175).

Almost surely, 2^9828120072 is an apocalyptic number.

It is an amenable number.

9828120072 is an abundant number, since it is smaller than the sum of its proper divisors (14757453528).

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

9828120072 is a wasteful number, since it uses less digits than its factorization.

9828120072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254565 (or 254561 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 9828120072 is about 99136.8754399694. The cubic root of 9828120072 is about 2142.0198177656.

The spelling of 9828120072 in words is "nine billion, eight hundred twenty-eight million, one hundred twenty thousand, seventy-two".