72129576960 has 432 divisors, whose sum is σ = 285933001536. Its totient is φ = 16477323264.

The previous prime is 72129576943. The next prime is 72129576971. The reversal of 72129576960 is 6967592127.

72129576960 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 9 + 576 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72129576897 and 72129576906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41286807 + ... + 41288553.

It is an arithmetic number, because the mean of its divisors is an integer number (661881948).

Almost surely, 2^72129576960 is an apocalyptic number.

72129576960 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 72129576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142966500768).

72129576960 is an abundant number, since it is smaller than the sum of its proper divisors (213803424576).

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

72129576960 is an equidigital number, since it uses as much as digits as its factorization.

72129576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 72129576960 in words is "seventy-two billion, one hundred twenty-nine million, five hundred seventy-six thousand, nine hundred sixty".