7587216 has 160 divisors (see below), whose sum is σ = 26942720. Its totient is φ = 1990656.

The previous prime is 7587199. The next prime is 7587227. The reversal of 7587216 is 6127857.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39216 + ... + 39408.

It is an arithmetic number, because the mean of its divisors is an integer number (168392).

Almost surely, 2^7587216 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 7587216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471360).

7587216 is an abundant number, since it is smaller than the sum of its proper divisors (19355504).

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

7587216 is a wasteful number, since it uses less digits than its factorization.

7587216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 7587216 is about 2754.4901524602. The cubic root of 7587216 is about 196.4992133294.

The spelling of 7587216 in words is "seven million, five hundred eighty-seven thousand, two hundred sixteen".