72745065616 has 80 divisors (see below), whose sum is σ = 154079622400. Its totient is φ = 33154095744.

The previous prime is 72745065593. The next prime is 72745065649. The reversal of 72745065616 is 61656054727.

It is a super-2 number, since 2×72745065616² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72745065616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834295 + ... + 917353.

It is an arithmetic number, because the mean of its divisors is an integer number (1925995280).

Almost surely, 2^72745065616 is an apocalyptic number.

72745065616 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72745065616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77039811200).

72745065616 is an abundant number, since it is smaller than the sum of its proper divisors (81334556784).

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

72745065616 is a wasteful number, since it uses less digits than its factorization.

72745065616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83196 (or 83190 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 72745065616 in words is "seventy-two billion, seven hundred forty-five million, sixty-five thousand, six hundred sixteen".