72550663938816 has 576 divisors, whose sum is σ = 244077341534208. Its totient is φ = 18641090248704.

The previous prime is 72550663938689. The next prime is 72550663938911. The reversal of 72550663938816 is 61883936605527.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2003203140 + ... + 2003239356.

It is an arithmetic number, because the mean of its divisors is an integer number (423745384608).

Almost surely, 2^{72550663938816} 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 72550663938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122038670767104).

72550663938816 is an abundant number, since it is smaller than the sum of its proper divisors (171526677595392).

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

72550663938816 is a wasteful number, since it uses less digits than its factorization.

72550663938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37236 (or 37222 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 69.

The spelling of 72550663938816 in words is "seventy-two trillion, five hundred fifty billion, six hundred sixty-three million, nine hundred thirty-eight thousand, eight hundred sixteen".