73512216 has 192 divisors, whose sum is σ = 231660000. Its totient is φ = 20901888.

The previous prime is 73512211. The next prime is 73512217. The reversal of 73512216 is 61221537.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 73512216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73512211) 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 47 ways as a sum of consecutive naturals, for example, 674370 + ... + 674478.

Almost surely, 2^73512216 is an apocalyptic number.

73512216 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 73512216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115830000).

73512216 is an abundant number, since it is smaller than the sum of its proper divisors (158147784).

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

73512216 is a wasteful number, since it uses less digits than its factorization.

73512216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

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

The square root of 73512216 is about 8573.9265217285. The cubic root of 73512216 is about 418.9091419772.

The spelling of 73512216 in words is "seventy-three million, five hundred twelve thousand, two hundred sixteen".