72489 has 8 divisors (see below), whose sum is σ = 98272. Its totient is φ = 47520.

The previous prime is 72481. The next prime is 72493. The reversal of 72489 is 98427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72489 - 2³ = 72481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (12284).

2⁷²⁴⁸⁹ is an apocalyptic number.

It is an amenable number.

72489 is a deficient number, since it is larger than the sum of its proper divisors (25783).

72489 is a wasteful number, since it uses less digits than its factorization.

72489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 4032, while the sum is 30.

The square root of 72489 is about 269.2378130947. The cubic root of 72489 is about 41.6956456184.

It can be divided in two parts, 72 and 489, that added together give a triangular number (561 = T₃₃).

The spelling of 72489 in words is "seventy-two thousand, four hundred eighty-nine".