73508816 has 40 divisors (see below), whose sum is σ = 152025984. Its totient is φ = 34311680.

The previous prime is 73508803. The next prime is 73508819. The reversal of 73508816 is 61880537.

It is a super-3 number, since 3×73508816³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73508816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73508819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34601 + ... + 36663.

Almost surely, 2^73508816 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 73508816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76012992).

73508816 is an abundant number, since it is smaller than the sum of its proper divisors (78517168).

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

73508816 is a wasteful number, since it uses less digits than its factorization.

73508816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 73508816 is about 8573.7282438855. The cubic root of 73508816 is about 418.9026835811.

The spelling of 73508816 in words is "seventy-three million, five hundred eight thousand, eight hundred sixteen".