72387 has 16 divisors (see below), whose sum is σ = 122880. Its totient is φ = 41256.

The previous prime is 72383. The next prime is 72421. The reversal of 72387 is 78327.

It is not a de Polignac number, because 72387 - 2² = 72383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72387.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72387.

It is not an unprimeable number, because it can be changed into a prime (72383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2⁷²³⁸⁷ is an apocalyptic number.

72387 is a deficient number, since it is larger than the sum of its proper divisors (50493).

72387 is a wasteful number, since it uses less digits than its factorization.

72387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72387 is about 269.0483227972. The cubic root of 72387 is about 41.6760796511.

The spelling of 72387 in words is "seventy-two thousand, three hundred eighty-seven".