72443624000 has 224 divisors, whose sum is σ = 202472300160. Its totient is φ = 25433856000.

The previous prime is 72443623997. The next prime is 72443624017. The reversal of 72443624000 is 42634427.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2537807 + ... + 2566193.

Almost surely, 2^72443624000 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 72443624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101236150080).

72443624000 is an abundant number, since it is smaller than the sum of its proper divisors (130028676160).

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

72443624000 is a wasteful number, since it uses less digits than its factorization.

72443624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28454 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 72443624000 in words is "seventy-two billion, four hundred forty-three million, six hundred twenty-four thousand".