73896 has 16 divisors (see below), whose sum is σ = 184800. Its totient is φ = 24624.

The previous prime is 73883. The next prime is 73897. The reversal of 73896 is 69837.

73896 = T₈₈ + T₈₉ + ... + T₁₀₃.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1516 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2⁷³⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

73896 is an abundant number, since it is smaller than the sum of its proper divisors (110904).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92400).

73896 is a wasteful number, since it uses less digits than its factorization.

73896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3084 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 73896 is about 271.8381871629. The cubic root of 73896 is about 41.9636874346.

It can be divided in two parts, 73 and 896, that added together give a palindrome (969).

The spelling of 73896 in words is "seventy-three thousand, eight hundred ninety-six".