7207728 has 120 divisors (see below), whose sum is σ = 21967344. Its totient is φ = 2027520.

The previous prime is 7207709. The next prime is 7207729. The reversal of 7207728 is 8277027.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7207729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98700 + ... + 98772.

Almost surely, 2^7207728 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 7207728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983672).

7207728 is an abundant number, since it is smaller than the sum of its proper divisors (14759616).

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

7207728 is a wasteful number, since it uses less digits than its factorization.

7207728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 7207728 is about 2684.7212145770. The cubic root of 7207728 is about 193.1669383477.

It can be divided in two parts, 720 and 7728, that added together give a palindrome (8448).

The spelling of 7207728 in words is "seven million, two hundred seven thousand, seven hundred twenty-eight".