72990 has 24 divisors (see below), whose sum is σ = 190008. Its totient is φ = 19440.

The previous prime is 72977. The next prime is 72997. The reversal of 72990 is 9927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (7917).

2⁷²⁹⁹⁰ is an apocalyptic number.

72990 is an abundant number, since it is smaller than the sum of its proper divisors (117018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95004).

72990 is a wasteful number, since it uses less digits than its factorization.

72990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 72990 is about 270.1666152581. The cubic root of 72990 is about 41.7914835026.

The spelling of 72990 in words is "seventy-two thousand, nine hundred ninety".