72440517600 has 864 divisors, whose sum is σ = 289556467200. Its totient is φ = 16889241600.

The previous prime is 72440517563. The next prime is 72440517601. The reversal of 72440517600 is 671504427.

72440517600 is a `hidden beast` number, since 7 + 2 + 4 + 40 + 5 + 1 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72440517601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 303098281 + ... + 303098519.

It is an arithmetic number, because the mean of its divisors is an integer number (335134800).

Almost surely, 2^72440517600 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 72440517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144778233600).

72440517600 is an abundant number, since it is smaller than the sum of its proper divisors (217115949600).

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

72440517600 is a wasteful number, since it uses less digits than its factorization.

72440517600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72440517600 in words is "seventy-two billion, four hundred forty million, five hundred seventeen thousand, six hundred".