73746 has 24 divisors (see below), whose sum is σ = 169884. Its totient is φ = 23040.

The previous prime is 73727. The next prime is 73751. The reversal of 73746 is 64737.

73746 = T₆₀ + T₆₁ + ... + T₈₆.

73746 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 5625 = 261^2 + 75^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186 + ... + 426.

2⁷³⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942).

73746 is an abundant number, since it is smaller than the sum of its proper divisors (96138).

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

73746 is a wasteful number, since it uses less digits than its factorization.

73746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 73746 is about 271.5621475832. The cubic root of 73746 is about 41.9352744534.

Subtracting from 73746 its reverse (64737), we obtain a palindrome (9009).

It can be divided in two parts, 7374 and 6, that multiplied together give a palindrome (44244).

The spelling of 73746 in words is "seventy-three thousand, seven hundred forty-six".