72390 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 18144.

The previous prime is 72383. The next prime is 72421. The reversal of 72390 is 9327.

72390 is a nontrivial binomial coefficient, being equal to C(381, 2).

It is a congruent number.

It is an unprimeable number.

72390 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 15 ways as a sum of consecutive naturals, for example, 507 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁷²³⁹⁰ is an apocalyptic number.

72390 is the 380-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

72390 is an abundant number, since it is smaller than the sum of its proper divisors (111930).

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

72390 is a wasteful number, since it uses less digits than its factorization.

72390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 72390 is about 269.0538979461. The cubic root of 72390 is about 41.6766553830.

The spelling of 72390 in words is "seventy-two thousand, three hundred ninety".