9952272 has 120 divisors (see below), whose sum is σ = 31182528. Its totient is φ = 2937600.

The previous prime is 9952253. The next prime is 9952273. The reversal of 9952272 is 2722599.

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

It is a d-powerful number, because it can be written as 9³ + 9⁵ + 5¹⁰ + 2² + 2¹⁰ + 7⁶ + 2¹³ .

Its product of digits (22680) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (9952273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96573 + ... + 96675.

Almost surely, 2^9952272 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 9952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591264).

9952272 is an abundant number, since it is smaller than the sum of its proper divisors (21230256).

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

9952272 is a wasteful number, since it uses less digits than its factorization.

9952272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 9952272 is about 3154.7221747723. The cubic root of 9952272 is about 215.1001660541.

The spelling of 9952272 in words is "nine million, nine hundred fifty-two thousand, two hundred seventy-two".