72433779600 has 480 divisors, whose sum is σ = 291424403200. Its totient is φ = 15281602560.

The previous prime is 72433779589. The next prime is 72433779617. The reversal of 72433779600 is 697733427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72433779600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5344032 + ... + 5357568.

Almost surely, 2^72433779600 is an apocalyptic number.

72433779600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72433779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145712201600).

72433779600 is an abundant number, since it is smaller than the sum of its proper divisors (218990623600).

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

72433779600 is a wasteful number, since it uses less digits than its factorization.

72433779600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 72433779600 in words is "seventy-two billion, four hundred thirty-three million, seven hundred seventy-nine thousand, six hundred".