9912672 has 192 divisors, whose sum is σ = 36288000. Its totient is φ = 2557440.

The previous prime is 9912671. The next prime is 9912689. The reversal of 9912672 is 2762199.

It is a super-2 number, since 2×9912672² = 196522132359168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9912671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66454 + ... + 66602.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^9912672 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 9912672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

9912672 is an abundant number, since it is smaller than the sum of its proper divisors (26375328).

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

9912672 is a wasteful number, since it uses less digits than its factorization.

9912672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 9912672 is about 3148.4396135229. The cubic root of 9912672 is about 214.8144929518.

It can be divided in two parts, 991 and 2672, that added together give a palindrome (3663).

The spelling of 9912672 in words is "nine million, nine hundred twelve thousand, six hundred seventy-two".