73067136 has 64 divisors (see below), whose sum is σ = 202547520. Its totient is φ = 23293952.

The previous prime is 73067129. The next prime is 73067143. The reversal of 73067136 is 63176037.

It is an interprime number because it is at equal distance from previous prime (73067129) and next prime (73067143).

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

It is a junction number, because it is equal to n+sod(n) for n = 73067097 and 73067106.

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 7 ways as a sum of consecutive naturals, for example, 4696 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (3164805).

Almost surely, 2^73067136 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 73067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101273760).

73067136 is an abundant number, since it is smaller than the sum of its proper divisors (129480384).

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

73067136 is a wasteful number, since it uses less digits than its factorization.

73067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 73067136 is about 8547.9316796521. The cubic root of 73067136 is about 418.0620009829.

The spelling of 73067136 in words is "seventy-three million, sixty-seven thousand, one hundred thirty-six".