73052 has 12 divisors (see below), whose sum is σ = 146160. Its totient is φ = 31296.

The previous prime is 73043. The next prime is 73061. The reversal of 73052 is 25037.

It is an interprime number because it is at equal distance from previous prime (73043) and next prime (73061).

73052 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 73052.

It is a congruent number.

It is an unprimeable number.

73052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (12180).

2⁷³⁰⁵² is an apocalyptic number.

It is an amenable number.

73052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (73080).

73052 is a wasteful number, since it uses less digits than its factorization.

73052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 73052 is about 270.2813349086. The cubic root of 73052 is about 41.8033131536.

Adding to 73052 its reverse (25037), we get a palindrome (98089).

The spelling of 73052 in words is "seventy-three thousand, fifty-two".