72024 has 16 divisors (see below), whose sum is σ = 180120. Its totient is φ = 24000.

The previous prime is 72019. The next prime is 72031. The reversal of 72024 is 42027.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 71994 and 72012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1477 + ... + 1524.

2⁷²⁰²⁴ is an apocalyptic number.

It is an amenable number.

72024 is an abundant number, since it is smaller than the sum of its proper divisors (108096).

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 (90060).

72024 is a wasteful number, since it uses less digits than its factorization.

72024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72024 is about 268.3728749334. The cubic root of 72024 is about 41.6062983560.

The spelling of 72024 in words is "seventy-two thousand, twenty-four", and thus it is an iban number.