73865888 has 48 divisors (see below), whose sum is σ = 150028200. Its totient is φ = 35782656.

The previous prime is 73865881. The next prime is 73865923. The reversal of 73865888 is 88856837.

It can be written as a sum of positive squares in 4 ways, for example, as 69422224 + 4443664 = 8332^2 + 2108^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73865881) 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 7 ways as a sum of consecutive naturals, for example, 164288 + ... + 164736.

Almost surely, 2^73865888 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 73865888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75014100).

73865888 is an abundant number, since it is smaller than the sum of its proper divisors (76162312).

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

73865888 is a wasteful number, since it uses less digits than its factorization.

73865888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 53.

The square root of 73865888 is about 8594.5266303619. The cubic root of 73865888 is about 419.5798671003.

The spelling of 73865888 in words is "seventy-three million, eight hundred sixty-five thousand, eight hundred eighty-eight".