9927792 has 160 divisors (see below), whose sum is σ = 33728000. Its totient is φ = 2794176.

The previous prime is 9927791. The next prime is 9927793. The reversal of 9927792 is 2977299.

It is an interprime number because it is at equal distance from previous prime (9927791) and next prime (9927793).

It is a super-2 number, since 2×9927792² = 197122107990528, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9927791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148143 + ... + 148209.

It is an arithmetic number, because the mean of its divisors is an integer number (210800).

Almost surely, 2^9927792 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 9927792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864000).

9927792 is an abundant number, since it is smaller than the sum of its proper divisors (23800208).

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

9927792 is a wasteful number, since it uses less digits than its factorization.

9927792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 9927792 is about 3150.8398880299. The cubic root of 9927792 is about 214.9236577703.

The spelling of 9927792 in words is "nine million, nine hundred twenty-seven thousand, seven hundred ninety-two".