7271936 has 40 divisors (see below), whose sum is σ = 16613520. Its totient is φ = 3115008.

The previous prime is 7271921. The next prime is 7271939. The reversal of 7271936 is 6391727.

It is a junction number, because it is equal to n+sod(n) for n = 7271896 and 7271905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7271939) 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 3 ways as a sum of consecutive naturals, for example, 2570 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (415338).

Almost surely, 2^7271936 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 7271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306760).

7271936 is an abundant number, since it is smaller than the sum of its proper divisors (9341584).

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

7271936 is an equidigital number, since it uses as much as digits as its factorization.

7271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2038 counting only the distinct ones).

The product of its digits is 15876, while the sum is 35.

The square root of 7271936 is about 2696.6527399723. The cubic root of 7271936 is about 193.7388344589.

The spelling of 7271936 in words is "seven million, two hundred seventy-one thousand, nine hundred thirty-six".