73216 has 40 divisors (see below), whose sum is σ = 171864. Its totient is φ = 30720.

The previous prime is 73189. The next prime is 73237. The reversal of 73216 is 61237.

73216 is nontrivially palindromic in base 15.

Its product of digits (252) is a multiple of the sum of its prime factors (42).

It is a junction number, because it is equal to n+sod(n) for n = 73193 and 73202.

It is a congruent number.

It is an unprimeable number.

73216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5626 + ... + 5638.

2⁷³²¹⁶ 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 73216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932).

73216 is an abundant number, since it is smaller than the sum of its proper divisors (98648).

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

73216 is a wasteful number, since it uses less digits than its factorization.

73216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 26 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 73216 is about 270.5845524046. The cubic root of 73216 is about 41.8345722540.

It can be divided in two parts, 73 and 216, that added together give a square (289 = 17²).

The spelling of 73216 in words is "seventy-three thousand, two hundred sixteen".