7271712 has 72 divisors (see below), whose sum is σ = 23639616. Its totient is φ = 2077056.

The previous prime is 7271689. The next prime is 7271723. The reversal of 7271712 is 2171727.

7271712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (328328).

Almost surely, 2^7271712 is an apocalyptic number.

7271712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7271712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819808).

7271712 is an abundant number, since it is smaller than the sum of its proper divisors (16367904).

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

7271712 is a wasteful number, since it uses less digits than its factorization.

7271712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3619 counting only the distinct ones).

The product of its digits is 1372, while the sum is 27.

The square root of 7271712 is about 2696.6112066815. The cubic root of 7271712 is about 193.7368451700.

The spelling of 7271712 in words is "seven million, two hundred seventy-one thousand, seven hundred twelve".