9946272 has 144 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 2626560.

The previous prime is 9946271. The next prime is 9946273. The reversal of 9946272 is 2726499.

It is an interprime number because it is at equal distance from previous prime (9946271) and next prime (9946273).

Its product of digits (54432) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9946272.

It is not an unprimeable number, because it can be changed into a prime (9946271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242572 + ... + 242612.

It is an arithmetic number, because the mean of its divisors is an integer number (224028).

Almost surely, 2^9946272 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 9946272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

9946272 is an abundant number, since it is smaller than the sum of its proper divisors (22313760).

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

9946272 is a wasteful number, since it uses less digits than its factorization.

9946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 9946272 is about 3153.7710760295. The cubic root of 9946272 is about 215.0569310206.

The spelling of 9946272 in words is "nine million, nine hundred forty-six thousand, two hundred seventy-two".