73760 has 24 divisors (see below), whose sum is σ = 174636. Its totient is φ = 29440.

The previous prime is 73757. The next prime is 73771. The reversal of 73760 is 6737.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 1936 = 268^2 + 44^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71 + ... + 390.

2⁷³⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

73760 is an abundant number, since it is smaller than the sum of its proper divisors (100876).

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 (87318).

73760 is a wasteful number, since it uses less digits than its factorization.

73760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 73760 is about 271.5879231483. The cubic root of 73760 is about 41.9379279609.

Subtracting from 73760 its sum of digits (23), we obtain a palindrome (73737).

It can be divided in two parts, 737 and 60, that added together give a palindrome (797).

The spelling of 73760 in words is "seventy-three thousand, seven hundred sixty".