73544128 has 56 divisors (see below), whose sum is σ = 167956992. Its totient is φ = 31298304.

The previous prime is 73544113. The next prime is 73544131. The reversal of 73544128 is 82144537.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 73544093 and 73544102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74325 + ... + 75307.

It is an arithmetic number, because the mean of its divisors is an integer number (2999232).

Almost surely, 2^73544128 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 73544128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83978496).

73544128 is an abundant number, since it is smaller than the sum of its proper divisors (94412864).

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

73544128 is a wasteful number, since it uses less digits than its factorization.

73544128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1159 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 73544128 is about 8575.7873107954. The cubic root of 73544128 is about 418.9697500200.

The spelling of 73544128 in words is "seventy-three million, five hundred forty-four thousand, one hundred twenty-eight".