73341216 has 144 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 21358080.

The previous prime is 73341211. The next prime is 73341217. The reversal of 73341216 is 61214337.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 73341216.

It is not an unprimeable number, because it can be changed into a prime (73341211) 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 23 ways as a sum of consecutive naturals, for example, 70621 + ... + 71651.

It is an arithmetic number, because the mean of its divisors is an integer number (1643460).

Almost surely, 2^73341216 is an apocalyptic number.

73341216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73341216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118329120).

73341216 is an abundant number, since it is smaller than the sum of its proper divisors (163317024).

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

73341216 is a wasteful number, since it uses less digits than its factorization.

73341216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1068 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 73341216 is about 8563.9486219851. The cubic root of 73341216 is about 418.5840754676.

The spelling of 73341216 in words is "seventy-three million, three hundred forty-one thousand, two hundred sixteen".