72788 has 12 divisors (see below), whose sum is σ = 131712. Its totient is φ = 35160.

The previous prime is 72767. The next prime is 72797. The reversal of 72788 is 88727.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

72788 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 in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (10976).

2⁷²⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

72788 is a deficient number, since it is larger than the sum of its proper divisors (58924).

72788 is a wasteful number, since it uses less digits than its factorization.

72788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 72788 is about 269.7925128687. The cubic root of 72788 is about 41.7528952060.

The spelling of 72788 in words is "seventy-two thousand, seven hundred eighty-eight".