72805736960 has 160 divisors (see below), whose sum is σ = 196577846784. Its totient is φ = 25620480000.

The previous prime is 72805736957. The next prime is 72805737001. The reversal of 72805736960 is 6963750827.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831260 + ... + 914660.

Almost surely, 2^72805736960 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 72805736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98288923392).

72805736960 is an abundant number, since it is smaller than the sum of its proper divisors (123772109824).

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

72805736960 is a wasteful number, since it uses less digits than its factorization.

72805736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83466 (or 83450 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 72805736960 in words is "seventy-two billion, eight hundred five million, seven hundred thirty-six thousand, nine hundred sixty".