73040 has 40 divisors (see below), whose sum is σ = 187488. Its totient is φ = 26240.

The previous prime is 73039. The next prime is 73043. The reversal of 73040 is 4037.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839 + ... + 921.

2⁷³⁰⁴⁰ 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 73040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

73040 is an abundant number, since it is smaller than the sum of its proper divisors (114448).

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

73040 is a wasteful number, since it uses less digits than its factorization.

73040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 73040 is about 270.2591349057. The cubic root of 73040 is about 41.8010240662.

Adding to 73040 its reverse (4037), we get a palindrome (77077).

The spelling of 73040 in words is "seventy-three thousand, forty", and thus it is an iban number.