72024000 has 112 divisors (see below), whose sum is σ = 237902496. Its totient is φ = 19200000.

The previous prime is 72023989. The next prime is 72024031. The reversal of 72024000 is 42027.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22500 + ... + 25500.

Almost surely, 2^72024000 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 72024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118951248).

72024000 is an abundant number, since it is smaller than the sum of its proper divisors (165878496).

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

72024000 is a wasteful number, since it uses less digits than its factorization.

72024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3011 counting only the distinct ones).

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

The square root of 72024000 is about 8486.6954699695. The cubic root of 72024000 is about 416.0629835603.

Adding to 72024000 its reverse (42027), we get a palindrome (72066027).

The spelling of 72024000 in words is "seventy-two million, twenty-four thousand".