72429730093728 has 576 divisors, whose sum is σ = 246196989222912. Its totient is φ = 20518468992000.

The previous prime is 72429730093703. The next prime is 72429730093729. The reversal of 72429730093728 is 82739003792427.

72429730093728 is a `hidden beast` number, since 7 + 2 + 4 + 297 + 300 + 9 + 37 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72429730093729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3046710450 + ... + 3046734222.

It is an arithmetic number, because the mean of its divisors is an integer number (427425328512).

Almost surely, 2^{72429730093728} 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 72429730093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123098494611456).

72429730093728 is an abundant number, since it is smaller than the sum of its proper divisors (173767259129184).

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

72429730093728 is a wasteful number, since it uses less digits than its factorization.

72429730093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24279 (or 24259 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 72429730093728 in words is "seventy-two trillion, four hundred twenty-nine billion, seven hundred thirty million, ninety-three thousand, seven hundred twenty-eight".