73113216 has 128 divisors (see below), whose sum is σ = 223257600. Its totient is φ = 20966400.

The previous prime is 73113199. The next prime is 73113239. The reversal of 73113216 is 61231137.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 79801 + ... + 80711.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2^73113216 is an apocalyptic number.

73113216 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 73113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

73113216 is an abundant number, since it is smaller than the sum of its proper divisors (150144384).

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

73113216 is a wasteful number, since it uses less digits than its factorization.

73113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 73113216 is about 8550.6266437028. The cubic root of 73113216 is about 418.1498665168.

The spelling of 73113216 in words is "seventy-three million, one hundred thirteen thousand, two hundred sixteen".