73792 has 14 divisors (see below), whose sum is σ = 146558. Its totient is φ = 36864.

The previous prime is 73783. The next prime is 73819. The reversal of 73792 is 29737.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 4096 = 264^2 + 64^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73792.

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 as a sum of consecutive naturals, namely, 513 + ... + 640.

2⁷³⁷⁹² is an apocalyptic number.

It is an amenable number.

73792 is a deficient number, since it is larger than the sum of its proper divisors (72766).

73792 is a wasteful number, since it uses less digits than its factorization.

73792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1155 counting only the distinct ones).

The product of its digits is 2646, while the sum is 28.

The square root of 73792 is about 271.6468295416. The cubic root of 73792 is about 41.9439918603.

It can be divided in two parts, 7379 and 2, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 73792 in words is "seventy-three thousand, seven hundred ninety-two".