72506102784 has 88 divisors (see below), whose sum is σ = 193336169568. Its totient is φ = 24158576640.

The previous prime is 72506102783. The next prime is 72506102839. The reversal of 72506102784 is 48720160527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506102783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12368014 + ... + 12373874.

Almost surely, 2^72506102784 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 72506102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96668084784).

72506102784 is an abundant number, since it is smaller than the sum of its proper divisors (120830066784).

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

72506102784 is a wasteful number, since it uses less digits than its factorization.

72506102784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9911 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 72506102784 in words is "seventy-two billion, five hundred six million, one hundred two thousand, seven hundred eighty-four".