7286016 has 72 divisors (see below), whose sum is σ = 19867680. Its totient is φ = 2369536.

The previous prime is 7286011. The next prime is 7286033. The reversal of 7286016 is 6106827.

It is a happy number.

It is a super-3 number, since 3×7286016³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7286011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40615 + ... + 40793.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 2^7286016 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 7286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9933840).

7286016 is an abundant number, since it is smaller than the sum of its proper divisors (12581664).

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

7286016 is a wasteful number, since it uses less digits than its factorization.

7286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7286016 is about 2699.2621213954. The cubic root of 7286016 is about 193.8637935767.

The spelling of 7286016 in words is "seven million, two hundred eighty-six thousand, sixteen".