24072 has 32 divisors (see below), whose sum is σ = 64800. Its totient is φ = 7424.

The previous prime is 24071. The next prime is 24077. The reversal of 24072 is 27042.

It is a super-2 number, since 2×24072² = 1158922368, which contains 22 as substring.

24072 is a modest number, since divided by 72 gives 24 as remainder.

It is not an unprimeable number, because it can be changed into a prime (24071) 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, 379 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2²⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400).

24072 is an abundant number, since it is smaller than the sum of its proper divisors (40728).

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

24072 is a wasteful number, since it uses less digits than its factorization.

24072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

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

The square root of 24072 is about 155.1515388258. The cubic root of 24072 is about 28.8738076005.

The spelling of 24072 in words is "twenty-four thousand, seventy-two", and thus it is an iban number.