73650816 has 128 divisors (see below), whose sum is σ = 220564800. Its totient is φ = 24192000.

The previous prime is 73650809. The next prime is 73650827. The reversal of 73650816 is 61805637.

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 (36).

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, 348951 + ... + 349161.

Almost surely, 2^73650816 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 73650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110282400).

73650816 is an abundant number, since it is smaller than the sum of its proper divisors (146913984).

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

73650816 is a wasteful number, since it uses less digits than its factorization.

73650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73650816 is about 8582.0053600543. The cubic root of 73650816 is about 419.1722472546.

The spelling of 73650816 in words is "seventy-three million, six hundred fifty thousand, eight hundred sixteen".