7272736 has 48 divisors (see below), whose sum is σ = 15717240. Its totient is φ = 3297280.

The previous prime is 7272721. The next prime is 7272737. The reversal of 7272736 is 6372727.

It can be written as a sum of positive squares in 4 ways, for example, as 6533136 + 739600 = 2556^2 + 860^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (7272737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15546 + ... + 16006.

Almost surely, 2^7272736 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 7272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858620).

7272736 is an abundant number, since it is smaller than the sum of its proper divisors (8444504).

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

7272736 is a wasteful number, since it uses less digits than its factorization.

7272736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its digits is 24696, while the sum is 34.

The square root of 7272736 is about 2696.8010679322. The cubic root of 7272736 is about 193.7459387286.

Subtracting from 7272736 its reverse (6372727), we obtain a palindrome (900009).

It can be divided in two parts, 7272 and 736, that added together give a palindrome (8008).

The spelling of 7272736 in words is "seven million, two hundred seventy-two thousand, seven hundred thirty-six".