72506634396768 has 480 divisors, whose sum is σ = 250655451298560. Its totient is φ = 20270587530240.

The previous prime is 72506634396719. The next prime is 72506634396769. The reversal of 72506634396768 is 86769343660527.

72506634396768 is a `hidden beast` number, since 7 + 2 + 506 + 6 + 3 + 43 + 9 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72506634396696 and 72506634396705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506634396769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 696410571 + ... + 696514677.

It is an arithmetic number, because the mean of its divisors is an integer number (522198856872).

Almost surely, 2^{72506634396768} is an apocalyptic number.

72506634396768 is a gapful number since it is divisible by the number (78) 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 72506634396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125327725649280).

72506634396768 is an abundant number, since it is smaller than the sum of its proper divisors (178148816901792).

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

72506634396768 is a wasteful number, since it uses less digits than its factorization.

72506634396768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106032 (or 106015 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 72506634396768 in words is "seventy-two trillion, five hundred six billion, six hundred thirty-four million, three hundred ninety-six thousand, seven hundred sixty-eight".