73146 has 16 divisors (see below), whose sum is σ = 149184. Its totient is φ = 23904.

The previous prime is 73141. The next prime is 73181. The reversal of 73146 is 64137.

73146 = T₃ + T₄ + ... + T₇₅.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73146.

It is not an unprimeable number, because it can be changed into a prime (73141) by changing a digit.

73146 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 7 ways as a sum of consecutive naturals, for example, 355 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁷³¹⁴⁶ is an apocalyptic number.

73146 is an abundant number, since it is smaller than the sum of its proper divisors (76038).

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 (74592).

73146 is a wasteful number, since it uses less digits than its factorization.

73146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245.

The product of its digits is 504, while the sum is 21.

The square root of 73146 is about 270.4551718862. The cubic root of 73146 is about 41.8212356709.

Subtracting from 73146 its reverse (64137), we obtain a palindrome (9009).

It can be divided in two parts, 731 and 46, that added together give a palindrome (777).

The spelling of 73146 in words is "seventy-three thousand, one hundred forty-six".