72182715072 has 112 divisors (see below), whose sum is σ = 205764384000. Its totient is φ = 22200357888.

The previous prime is 72182715053. The next prime is 72182715133. The reversal of 72182715072 is 27051728127.

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, 7480683 + ... + 7490325.

It is an arithmetic number, because the mean of its divisors is an integer number (1837182000).

Almost surely, 2^72182715072 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 72182715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102882192000).

72182715072 is an abundant number, since it is smaller than the sum of its proper divisors (133581668928).

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

72182715072 is a wasteful number, since it uses less digits than its factorization.

72182715072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12670 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 72182715072 in words is "seventy-two billion, one hundred eighty-two million, seven hundred fifteen thousand, seventy-two".