9358272 has 168 divisors, whose sum is σ = 33601152. Its totient is φ = 2419200.

The previous prime is 9358267. The next prime is 9358277. The reversal of 9358272 is 2728539.

It is a happy number.

9358272 is a `hidden beast` number, since 9 + 3 + 582 + 72 = 666.

9358272 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (9358267) and next prime (9358277).

It is a tau number, because it is divible by the number of its divisors (168).

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 + 3¹⁴ + 5⁹ + 8⁷ + 2 + 7 + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9358277) 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, 44247 + ... + 44457.

Almost surely, 2^9358272 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 9358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800576).

9358272 is an abundant number, since it is smaller than the sum of its proper divisors (24242880).

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

9358272 is a wasteful number, since it uses less digits than its factorization.

9358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 9358272 is about 3059.1292878857. The cubic root of 9358272 is about 210.7326788448.

9358272 divided by its sum of digits (36) gives a palindrome (259952).

It can be divided in two parts, 9 and 358272, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 9358272 in words is "nine million, three hundred fifty-eight thousand, two hundred seventy-two".