73516896 has 120 divisors (see below), whose sum is σ = 218993544. Its totient is φ = 24192000.

The previous prime is 73516873. The next prime is 73516921. The reversal of 73516896 is 69861537.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292771 + ... + 293021.

Almost surely, 2^73516896 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 73516896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109496772).

73516896 is an abundant number, since it is smaller than the sum of its proper divisors (145476648).

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

73516896 is a wasteful number, since it uses less digits than its factorization.

73516896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 73516896 is about 8574.1994378484. The cubic root of 73516896 is about 418.9180314439.

It can be divided in two parts, 7351689 and 6, that added together give a triangular number (7351695 = T₃₈₃₄).

The spelling of 73516896 in words is "seventy-three million, five hundred sixteen thousand, eight hundred ninety-six".