73521216 has 112 divisors (see below), whose sum is σ = 218318080. Its totient is φ = 24261120.

The previous prime is 73521199. The next prime is 73521223. The reversal of 73521216 is 61212537.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 73521216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271161 + ... + 271431.

Almost surely, 2^73521216 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 73521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109159040).

73521216 is an abundant number, since it is smaller than the sum of its proper divisors (144796864).

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

73521216 is a wasteful number, since it uses less digits than its factorization.

73521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 73521216 is about 8574.4513527106. The cubic root of 73521216 is about 418.9262367706.

It can be divided in two parts, 73521 and 216, that added together give a palindrome (73737).

The spelling of 73521216 in words is "seventy-three million, five hundred twenty-one thousand, two hundred sixteen".