7349216 has 72 divisors (see below), whose sum is σ = 17380440. Its totient is φ = 3048192.

The previous prime is 7349191. The next prime is 7349233. The reversal of 7349216 is 6129437.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67370 + ... + 67478.

It is an arithmetic number, because the mean of its divisors is an integer number (241395).

Almost surely, 2^7349216 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 7349216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690220).

7349216 is an abundant number, since it is smaller than the sum of its proper divisors (10031224).

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

7349216 is a wasteful number, since it uses less digits than its factorization.

7349216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 7349216 is about 2710.9437471110. The cubic root of 7349216 is about 194.4227152015.

The spelling of 7349216 in words is "seven million, three hundred forty-nine thousand, two hundred sixteen".