72014386528 has 192 divisors, whose sum is σ = 174901120128. Its totient is φ = 28488499200.

The previous prime is 72014386487. The next prime is 72014386531. The reversal of 72014386528 is 82568341027.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43459876 + ... + 43461532.

It is an arithmetic number, because the mean of its divisors is an integer number (910943334).

Almost surely, 2^72014386528 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 72014386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87450560064).

72014386528 is an abundant number, since it is smaller than the sum of its proper divisors (102886733600).

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

72014386528 is a wasteful number, since it uses less digits than its factorization.

72014386528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 72014386528 in words is "seventy-two billion, fourteen million, three hundred eighty-six thousand, five hundred twenty-eight".