73376 has 12 divisors (see below), whose sum is σ = 144522. Its totient is φ = 36672.

The previous prime is 73369. The next prime is 73379. The reversal of 73376 is 67337.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 5776 = 260^2 + 76^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73379) by changing a digit.

73376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 1115 + ... + 1178.

2⁷³³⁷⁶ is an apocalyptic number.

It is an amenable number.

73376 is a deficient number, since it is larger than the sum of its proper divisors (71146).

73376 is a wasteful number, since it uses less digits than its factorization.

73376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2295 counting only the distinct ones).

The product of its digits is 2646, while the sum is 26.

The square root of 73376 is about 270.8800472534. The cubic root of 73376 is about 41.8650239843.

It can be divided in two parts, 7 and 3376, that multiplied together give a palindrome (23632).

The spelling of 73376 in words is "seventy-three thousand, three hundred seventy-six".