7438272 has 56 divisors (see below), whose sum is σ = 20726400. Its totient is φ = 2347776.

The previous prime is 7438271. The next prime is 7438289. The reversal of 7438272 is 2728347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7438271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2629 + ... + 4667.

Almost surely, 2^7438272 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 7438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363200).

7438272 is an abundant number, since it is smaller than the sum of its proper divisors (13288128).

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

7438272 is a wasteful number, since it uses less digits than its factorization.

7438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 7438272 is about 2727.3195632342. The cubic root of 7438272 is about 195.2048865569.

The spelling of 7438272 in words is "seven million, four hundred thirty-eight thousand, two hundred seventy-two".