73233216 has 168 divisors, whose sum is σ = 246302784. Its totient is φ = 20367360.

The previous prime is 73233203. The next prime is 73233217. The reversal of 73233216 is 61233237.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 73233216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73233217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165091 + ... + 165533.

It is an arithmetic number, because the mean of its divisors is an integer number (1466088).

Almost surely, 2^73233216 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 73233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123151392).

73233216 is an abundant number, since it is smaller than the sum of its proper divisors (173069568).

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

73233216 is a wasteful number, since it uses less digits than its factorization.

73233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 73233216 is about 8557.6407963878. The cubic root of 73233216 is about 418.3785098890.

It can be divided in two parts, 73 and 233216, that added together give a square (233289 = 483²).

The spelling of 73233216 in words is "seventy-three million, two hundred thirty-three thousand, two hundred sixteen".