72432 has 30 divisors (see below), whose sum is σ = 203112. Its totient is φ = 24096.

The previous prime is 72431. The next prime is 72461. The reversal of 72432 is 23427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72432.

It is not an unprimeable number, because it can be changed into a prime (72431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108 + ... + 395.

2⁷²⁴³² is an apocalyptic number.

72432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72432 is an abundant number, since it is smaller than the sum of its proper divisors (130680).

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

72432 is a wasteful number, since it uses less digits than its factorization.

72432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 72432 is about 269.1319379041. The cubic root of 72432 is about 41.6847139597.

Adding to 72432 its reverse (23427), we get a palindrome (95859).

The spelling of 72432 in words is "seventy-two thousand, four hundred thirty-two".