73728501696 has 336 divisors, whose sum is σ = 238351198176. Its totient is φ = 22502375424.

The previous prime is 73728501643. The next prime is 73728501701. The reversal of 73728501696 is 69610582737.

73728501696 is a `hidden beast` number, since 7 + 3 + 72 + 8 + 501 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9778440 + ... + 9785976.

It is an arithmetic number, because the mean of its divisors is an integer number (709378566).

Almost surely, 2^73728501696 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 73728501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119175599088).

73728501696 is an abundant number, since it is smaller than the sum of its proper divisors (164622696480).

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

73728501696 is a wasteful number, since it uses less digits than its factorization.

73728501696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 73728501696 in words is "seventy-three billion, seven hundred twenty-eight million, five hundred one thousand, six hundred ninety-six".