7168728 has 64 divisors (see below), whose sum is σ = 20805120. Its totient is φ = 2016000.

The previous prime is 7168723. The next prime is 7168729. The reversal of 7168728 is 8278617.

It is a super-2 number, since 2×7168728² = 102781322275968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11628 + ... + 12228.

It is an arithmetic number, because the mean of its divisors is an integer number (325080).

Almost surely, 2^7168728 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 7168728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402560).

7168728 is an abundant number, since it is smaller than the sum of its proper divisors (13636392).

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

7168728 is a wasteful number, since it uses less digits than its factorization.

7168728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its digits is 37632, while the sum is 39.

The square root of 7168728 is about 2677.4480387115. The cubic root of 7168728 is about 192.8179083817.

The spelling of 7168728 in words is "seven million, one hundred sixty-eight thousand, seven hundred twenty-eight".