7461216 has 72 divisors (see below), whose sum is σ = 24255504. Its totient is φ = 2131200.

The previous prime is 7461211. The next prime is 7461247. The reversal of 7461216 is 6121647.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7461216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 166 + ... + 3866.

It is an arithmetic number, because the mean of its divisors is an integer number (336882).

Almost surely, 2^7461216 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 7461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12127752).

7461216 is an abundant number, since it is smaller than the sum of its proper divisors (16794288).

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

7461216 is a wasteful number, since it uses less digits than its factorization.

7461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3713 counting only the distinct ones).

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

The square root of 7461216 is about 2731.5226522949. The cubic root of 7461216 is about 195.4053893855.

The spelling of 7461216 in words is "seven million, four hundred sixty-one thousand, two hundred sixteen".