7542016 has 36 divisors (see below), whose sum is σ = 15949332. Its totient is φ = 3547136.

The previous prime is 7542013. The next prime is 7542019. The reversal of 7542016 is 6102457.

It is an interprime number because it is at equal distance from previous prime (7542013) and next prime (7542019).

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 2876416 = 2160^2 + 1696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7542013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3486 + ... + 5218.

It is an arithmetic number, because the mean of its divisors is an integer number (443037).

Almost surely, 2^7542016 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 7542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974666).

7542016 is an abundant number, since it is smaller than the sum of its proper divisors (8407316).

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

7542016 is a wasteful number, since it uses less digits than its factorization.

7542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 7542016 is about 2746.2731109633. The cubic root of 7542016 is about 196.1082284400.

The spelling of 7542016 in words is "seven million, five hundred forty-two thousand, sixteen".