9972768 has 96 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 2995200.

The previous prime is 9972757. The next prime is 9972773. The reversal of 9972768 is 8672799.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9972768² = 198912203163648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76063 + ... + 76193.

It is an arithmetic number, because the mean of its divisors is an integer number (300762).

Almost surely, 2^9972768 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 9972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

9972768 is an abundant number, since it is smaller than the sum of its proper divisors (18900384).

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

9972768 is a wasteful number, since it uses less digits than its factorization.

9972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 9972768 is about 3157.9689675486. The cubic root of 9972768 is about 215.2477259948.

The spelling of 9972768 in words is "nine million, nine hundred seventy-two thousand, seven hundred sixty-eight".