73086496 has 48 divisors (see below), whose sum is σ = 170130240. Its totient is φ = 30240000.

The previous prime is 73086491. The next prime is 73086511. The reversal of 73086496 is 69468037.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73086491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 871 + ... + 12121.

It is an arithmetic number, because the mean of its divisors is an integer number (3544380).

Almost surely, 2^73086496 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 73086496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85065120).

73086496 is an abundant number, since it is smaller than the sum of its proper divisors (97043744).

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

73086496 is a wasteful number, since it uses less digits than its factorization.

73086496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 73086496 is about 8549.0640423382. The cubic root of 73086496 is about 418.0989212093.

The spelling of 73086496 in words is "seventy-three million, eighty-six thousand, four hundred ninety-six".