73740 has 24 divisors (see below), whose sum is σ = 206640. Its totient is φ = 19648.

The previous prime is 73727. The next prime is 73751. The reversal of 73740 is 4737.

It is an unprimeable number.

73740 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, 555 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

2⁷³⁷⁴⁰ is an apocalyptic number.

It is an amenable number.

73740 is an abundant number, since it is smaller than the sum of its proper divisors (132900).

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 (103320).

73740 is a wasteful number, since it uses less digits than its factorization.

73740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 73740 is about 271.5511001635. The cubic root of 73740 is about 41.9341371331.

It can be divided in two parts, 737 and 40, that added together give a palindrome (777).

The spelling of 73740 in words is "seventy-three thousand, seven hundred forty", and thus it is an iban number.