7241728 has 64 divisors (see below), whose sum is σ = 16514820. Its totient is φ = 3145728.

The previous prime is 7241723. The next prime is 7241743. The reversal of 7241728 is 8271427.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 16384 = 2688^2 + 128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (6272) is a multiple of the sum of its prime divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7241728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7241723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425976 + ... + 425992.

Almost surely, 2^7241728 is an apocalyptic number.

7241728 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257410).

7241728 is an abundant number, since it is smaller than the sum of its proper divisors (9273092).

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

7241728 is an equidigital number, since it uses as much as digits as its factorization.

7241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 32 counting only the distinct ones).

The product of its digits is 6272, while the sum is 31.

The square root of 7241728 is about 2691.0458933285. The cubic root of 7241728 is about 193.4701950724.

The spelling of 7241728 in words is "seven million, two hundred forty-one thousand, seven hundred twenty-eight".