72738427292550 has 192 divisors, whose sum is σ = 201371756501760. Its totient is φ = 19306394634240.

The previous prime is 72738427292527. The next prime is 72738427292551. The reversal of 72738427292550 is 5529272483727.

It is a happy number.

72738427292550 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 8 + 4 + 2 + 72 + 9 + 2 + 550 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738427292551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337242342 + ... + 337457958.

It is an arithmetic number, because the mean of its divisors is an integer number (1048811231780).

Almost surely, 2^{72738427292550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72738427292550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100685878250880).

72738427292550 is an abundant number, since it is smaller than the sum of its proper divisors (128633329209210).

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

72738427292550 is a wasteful number, since it uses less digits than its factorization.

72738427292550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216804 (or 216793 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 72738427292550 in words is "seventy-two trillion, seven hundred thirty-eight billion, four hundred twenty-seven million, two hundred ninety-two thousand, five hundred fifty".