72940616352 has 144 divisors (see below), whose sum is σ = 218463073920. Its totient is φ = 23021107200.

The previous prime is 72940616299. The next prime is 72940616377. The reversal of 72940616352 is 25361604927.

72940616352 is a `hidden beast` number, since 7 + 2 + 9 + 4 + 0 + 6 + 1 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 72940616298 and 72940616307.

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 23 ways as a sum of consecutive naturals, for example, 17075977 + ... + 17080247.

It is an arithmetic number, because the mean of its divisors is an integer number (1517104680).

Almost surely, 2^72940616352 is an apocalyptic number.

72940616352 is a gapful number since it is divisible by the number (72) 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 72940616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109231536960).

72940616352 is an abundant number, since it is smaller than the sum of its proper divisors (145522457568).

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

72940616352 is a wasteful number, since it uses less digits than its factorization.

72940616352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 72940616352 in words is "seventy-two billion, nine hundred forty million, six hundred sixteen thousand, three hundred fifty-two".