73336956 has 96 divisors (see below), whose sum is σ = 215255040. Its totient is φ = 18878400.

The previous prime is 73336951. The next prime is 73336981. The reversal of 73336956 is 65963337.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73336951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128151 + ... + 128721.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2^73336956 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 73336956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107627520).

73336956 is an abundant number, since it is smaller than the sum of its proper divisors (141918084).

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

73336956 is a wasteful number, since it uses less digits than its factorization.

73336956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its digits is 306180, while the sum is 42.

The square root of 73336956 is about 8563.6999013277. The cubic root of 73336956 is about 418.5759708720.

The spelling of 73336956 in words is "seventy-three million, three hundred thirty-six thousand, nine hundred fifty-six".