73890128 has 40 divisors (see below), whose sum is σ = 155359848. Its totient is φ = 33841152.

The previous prime is 73890121. The next prime is 73890137. The reversal of 73890128 is 82109837.

It can be written as a sum of positive squares in 4 ways, for example, as 6190144 + 67699984 = 2488^2 + 8228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73890091 and 73890100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73890121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27200 + ... + 29792.

Almost surely, 2^73890128 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 73890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77679924).

73890128 is an abundant number, since it is smaller than the sum of its proper divisors (81469720).

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

73890128 is a wasteful number, since it uses less digits than its factorization.

73890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 73890128 is about 8595.9367145181. The cubic root of 73890128 is about 419.6257588460.

The spelling of 73890128 in words is "seventy-three million, eight hundred ninety thousand, one hundred twenty-eight".