72163782576 has 100 divisors (see below), whose sum is σ = 209209294272. Its totient is φ = 24014703744.

The previous prime is 72163782557. The next prime is 72163782577. The reversal of 72163782576 is 67528736127.

It is a happy number.

72163782576 is a `hidden beast` number, since 7 + 2 + 1 + 63 + 7 + 8 + 2 + 576 = 666.

It is a super-2 number, since 2×72163782576² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72163782577) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 740806 + ... + 832538.

Almost surely, 2^72163782576 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 72163782576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104604647136).

72163782576 is an abundant number, since it is smaller than the sum of its proper divisors (137045511696).

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

72163782576 is a wasteful number, since it uses less digits than its factorization.

72163782576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92360 (or 92345 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 72163782576 in words is "seventy-two billion, one hundred sixty-three million, seven hundred eighty-two thousand, five hundred seventy-six".