72429614208 has 896 divisors, whose sum is σ = 263998848000. Its totient is φ = 19752284160.

The previous prime is 72429614207. The next prime is 72429614227. The reversal of 72429614208 is 80241692427.

72429614208 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 9 + 614 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (72429614207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992186460 + ... + 992186532.

Almost surely, 2^72429614208 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 72429614208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131999424000).

72429614208 is an abundant number, since it is smaller than the sum of its proper divisors (191569233792).

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

72429614208 is an frugal number, since it uses more digits than its factorization.

72429614208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 72429614208 in words is "seventy-two billion, four hundred twenty-nine million, six hundred fourteen thousand, two hundred eight".