73894528 has 64 divisors (see below), whose sum is σ = 153342720. Its totient is φ = 35445760.

The previous prime is 73894507. The next prime is 73894531. The reversal of 73894528 is 82549837.

It is a tau number, because it is divible by the number of its divisors (64).

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, 427050 + ... + 427222.

It is an arithmetic number, because the mean of its divisors is an integer number (2395980).

Almost surely, 2^73894528 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 73894528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76671360).

73894528 is an abundant number, since it is smaller than the sum of its proper divisors (79448192).

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

73894528 is a wasteful number, since it uses less digits than its factorization.

73894528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 73894528 is about 8596.1926455844. The cubic root of 73894528 is about 419.6340879545.

It can be divided in two parts, 738 and 94528, that added together give a triangular number (95266 = T₄₃₆).

The spelling of 73894528 in words is "seventy-three million, eight hundred ninety-four thousand, five hundred twenty-eight".