7282016 has 96 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 2806272.

The previous prime is 7282003. The next prime is 7282019. The reversal of 7282016 is 6102827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7282019) 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, 123395 + ... + 123453.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^7282016 is an apocalyptic number.

7282016 is a gapful number since it is divisible by the number (76) 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 7282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

7282016 is an abundant number, since it is smaller than the sum of its proper divisors (10861984).

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

7282016 is a wasteful number, since it uses less digits than its factorization.

7282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 7282016 is about 2698.5210764417. The cubic root of 7282016 is about 193.8283102103.

It can be divided in two parts, 728 and 2016, that added together give a cube (2744 = 14³).

The spelling of 7282016 in words is "seven million, two hundred eighty-two thousand, sixteen".