73564128 has 108 divisors (see below), whose sum is σ = 230053824. Its totient is φ = 22281600.

The previous prime is 73564123. The next prime is 73564129. The reversal of 73564128 is 82146537.

73564128 is a `hidden beast` number, since 7 + 3 + 5 + 641 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73564092 and 73564101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73564123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33793 + ... + 35903.

It is an arithmetic number, because the mean of its divisors is an integer number (2130128).

Almost surely, 2^73564128 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 73564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115026912).

73564128 is an abundant number, since it is smaller than the sum of its proper divisors (156489696).

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

73564128 is a wasteful number, since it uses less digits than its factorization.

73564128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2127 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73564128 is about 8576.9533052244. The cubic root of 73564128 is about 419.0077255673.

The spelling of 73564128 in words is "seventy-three million, five hundred sixty-four thousand, one hundred twenty-eight".