7382016 has 110 divisors (see below), whose sum is σ = 22291830. Its totient is φ = 2433024.

The previous prime is 7382003. The next prime is 7382017. The reversal of 7382016 is 6102837.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 2073600 = 2304^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7382017) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82900 + ... + 82988.

It is an arithmetic number, because the mean of its divisors is an integer number (202653).

Almost surely, 2^7382016 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 7382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145915).

7382016 is an abundant number, since it is smaller than the sum of its proper divisors (14909814).

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

7382016 is an equidigital number, since it uses as much as digits as its factorization.

7382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7382016 is about 2716.9865660323. The cubic root of 7382016 is about 194.7115261184.

The spelling of 7382016 in words is "seven million, three hundred eighty-two thousand, sixteen".