73808064 has 168 divisors, whose sum is σ = 239176560. Its totient is φ = 22302720.

The previous prime is 73808051. The next prime is 73808069. The reversal of 73808064 is 46080837.

It is a super-2 number, since 2×73808064² = 10895260622856192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73808069) 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, 208912 + ... + 209264.

It is an arithmetic number, because the mean of its divisors is an integer number (1423670).

Almost surely, 2^73808064 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 73808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119588280).

73808064 is an abundant number, since it is smaller than the sum of its proper divisors (165368496).

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

73808064 is a wasteful number, since it uses less digits than its factorization.

73808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73808064 is about 8591.1619703041. The cubic root of 73808064 is about 419.4703527694.

The spelling of 73808064 in words is "seventy-three million, eight hundred eight thousand, sixty-four".