73216416 has 288 divisors, whose sum is σ = 259943040. Its totient is φ = 17547264.

The previous prime is 73216411. The next prime is 73216421. The reversal of 73216416 is 61461237.

73216416 = T₁₈₈ + T₁₈₉ + ... + T₇₆₃.

It is an interprime number because it is at equal distance from previous prime (73216411) and next prime (73216421).

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

Its product of digits (6048) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73216411) 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, 2524690 + ... + 2524718.

It is an arithmetic number, because the mean of its divisors is an integer number (902580).

Almost surely, 2^73216416 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 73216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129971520).

73216416 is an abundant number, since it is smaller than the sum of its proper divisors (186726624).

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

73216416 is a wasteful number, since it uses less digits than its factorization.

73216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 73216416 is about 8556.6591611446. The cubic root of 73216416 is about 418.3465148604.

The spelling of 73216416 in words is "seventy-three million, two hundred sixteen thousand, four hundred sixteen".