72805164930 has 128 divisors (see below), whose sum is σ = 199519407360. Its totient is φ = 18880519680.

The previous prime is 72805164907. The next prime is 72805164947. The reversal of 72805164930 is 3946150827.

72805164930 is a `hidden beast` number, since 72 + 80 + 5 + 16 + 493 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 3498817 + ... + 3519563.

It is an arithmetic number, because the mean of its divisors is an integer number (1558745370).

It is a 1-persistent number, because it is pandigital, but 2⋅72805164930 = 145610329860 is not.

Almost surely, 2^72805164930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72805164930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99759703680).

72805164930 is an abundant number, since it is smaller than the sum of its proper divisors (126714242430).

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

72805164930 is a wasteful number, since it uses less digits than its factorization.

72805164930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21115 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72805164930 in words is "seventy-two billion, eight hundred five million, one hundred sixty-four thousand, nine hundred thirty".