73389888 has 294 divisors, whose sum is σ = 258466082. Its totient is φ = 20528640.

The previous prime is 73389881. The next prime is 73389917. The reversal of 73389888 is 88898337.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 22581504 = 7128^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73389881) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5645370 + ... + 5645382.

Almost surely, 2^73389888 is an apocalyptic number.

73389888 is a gapful number since it is divisible by the number (78) 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 73389888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129233041).

73389888 is an abundant number, since it is smaller than the sum of its proper divisors (185076194).

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

73389888 is a wasteful number, since it uses less digits than its factorization.

73389888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 73389888 is about 8566.7898305024. The cubic root of 73389888 is about 418.6766510572.

The spelling of 73389888 in words is "seventy-three million, three hundred eighty-nine thousand, eight hundred eighty-eight".