73821216 has 96 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 20514816.

The previous prime is 73821193. The next prime is 73821263. The reversal of 73821216 is 61212837.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 23380 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^73821216 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 73821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

73821216 is an abundant number, since it is smaller than the sum of its proper divisors (153704544).

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

73821216 is a wasteful number, since it uses less digits than its factorization.

73821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3018 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 73821216 is about 8591.9273739947. The cubic root of 73821216 is about 419.4952666976.

The spelling of 73821216 in words is "seventy-three million, eight hundred twenty-one thousand, two hundred sixteen".