73895328 has 288 divisors, whose sum is σ = 254270016. Its totient is φ = 20901888.

The previous prime is 73895321. The next prime is 73895359. The reversal of 73895328 is 82359837.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (73895321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718475 + ... + 1718517.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 2^73895328 is an apocalyptic number.

73895328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73895328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127135008).

73895328 is an abundant number, since it is smaller than the sum of its proper divisors (180374688).

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

73895328 is a wasteful number, since it uses less digits than its factorization.

73895328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 73895328 is about 8596.2391776869. The cubic root of 73895328 is about 419.6356023024.

The spelling of 73895328 in words is "seventy-three million, eight hundred ninety-five thousand, three hundred twenty-eight".