72437441365656 has 320 divisors, whose sum is σ = 205188536329920. Its totient is φ = 23874494791680.

The previous prime is 72437441365649. The next prime is 72437441365669. The reversal of 72437441365656 is 65656314473427.

72437441365656 is a `hidden beast` number, since 7 + 2 + 4 + 37 + 4 + 4 + 1 + 36 + 565 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72437441365593 and 72437441365602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14507796696 + ... + 14507801688.

It is an arithmetic number, because the mean of its divisors is an integer number (641214176031).

Almost surely, 2^{72437441365656} 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 72437441365656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102594268164960).

72437441365656 is an abundant number, since it is smaller than the sum of its proper divisors (132751094964264).

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

72437441365656 is a wasteful number, since it uses less digits than its factorization.

72437441365656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5875 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 63.

The spelling of 72437441365656 in words is "seventy-two trillion, four hundred thirty-seven billion, four hundred forty-one million, three hundred sixty-five thousand, six hundred fifty-six".