73002216 has 64 divisors (see below), whose sum is σ = 220855680. Its totient is φ = 19630080.

The previous prime is 73002211. The next prime is 73002217. The reversal of 73002216 is 61220037.

It is a happy number.

It is a super-3 number, since 3×73002216³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 73002192 and 73002201.

It is not an unprimeable number, because it can be changed into a prime (73002211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9925 + ... + 15636.

It is an arithmetic number, because the mean of its divisors is an integer number (3450870).

Almost surely, 2^73002216 is an apocalyptic number.

It is an amenable number.

73002216 is an abundant number, since it is smaller than the sum of its proper divisors (147853464).

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

73002216 is a wasteful number, since it uses less digits than its factorization.

73002216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25594 (or 25590 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73002216 is about 8544.1334259245. The cubic root of 73002216 is about 417.9381485523.

The spelling of 73002216 in words is "seventy-three million, two thousand, two hundred sixteen".