73356 has 12 divisors (see below), whose sum is σ = 171192. Its totient is φ = 24448.

The previous prime is 73351. The next prime is 73361. The reversal of 73356 is 65337.

It is an interprime number because it is at equal distance from previous prime (73351) and next prime (73361).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×73356² = 10762205472, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (73351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3045 + ... + 3068.

It is an arithmetic number, because the mean of its divisors is an integer number (14266).

2⁷³³⁵⁶ is an apocalyptic number.

It is an amenable number.

73356 is an abundant number, since it is smaller than the sum of its proper divisors (97836).

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 (85596).

73356 is a wasteful number, since it uses less digits than its factorization.

73356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6118 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 73356 is about 270.8431280280. The cubic root of 73356 is about 41.8612199405.

The spelling of 73356 in words is "seventy-three thousand, three hundred fifty-six".