9736272 has 120 divisors (see below), whose sum is σ = 33581184. Its totient is φ = 2564352.

The previous prime is 9736261. The next prime is 9736277. The reversal of 9736272 is 2726379.

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 d-powerful number, because it can be written as 9 + 7² + 3¹³ + 6⁷ + 2 + 7⁸ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9736277) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12733 + ... + 13475.

Almost surely, 2^9736272 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 9736272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790592).

9736272 is an abundant number, since it is smaller than the sum of its proper divisors (23844912).

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

9736272 is a wasteful number, since it uses less digits than its factorization.

9736272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 9736272 is about 3120.2999855783. The cubic root of 9736272 is about 213.5326219333.

The spelling of 9736272 in words is "nine million, seven hundred thirty-six thousand, two hundred seventy-two".