73988 has 12 divisors (see below), whose sum is σ = 132300. Its totient is φ = 36192.

The previous prime is 73973. The next prime is 73999. The reversal of 73988 is 88937.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 20164 = 232^2 + 142^2 .

It is a congruent number.

It is an unprimeable number.

73988 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 3 ways as a sum of consecutive naturals, for example, 38 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2⁷³⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

73988 is a deficient number, since it is larger than the sum of its proper divisors (58312).

73988 is a wasteful number, since it uses less digits than its factorization.

73988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 73988 is about 272.0073528418. The cubic root of 73988 is about 41.9810950443.

The spelling of 73988 in words is "seventy-three thousand, nine hundred eighty-eight".