72988 has 12 divisors (see below), whose sum is σ = 130032. Its totient is φ = 35840.

The previous prime is 72977. The next prime is 72997. The reversal of 72988 is 88927.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

72988 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, 156 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (10836).

2⁷²⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

72988 is a deficient number, since it is larger than the sum of its proper divisors (57044).

72988 is a wasteful number, since it uses less digits than its factorization.

72988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 72988 is about 270.1629138131. The cubic root of 72988 is about 41.7911017894.

The spelling of 72988 in words is "seventy-two thousand, nine hundred eighty-eight".