73128908189376 has 1792 divisors, whose sum is σ = 263856337920000. Its totient is φ = 19616338280448.

The previous prime is 73128908189369. The next prime is 73128908189401. The reversal of 73128908189376 is 67398180982137.

73128908189376 is a `hidden beast` number, since 7 + 3 + 12 + 8 + 90 + 81 + 89 + 376 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 64773168780 + ... + 64773169908.

It is an arithmetic number, because the mean of its divisors is an integer number (147241260000).

Almost surely, 2^{73128908189376} is an apocalyptic number.

73128908189376 is a gapful number since it is divisible by the number (76) 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 73128908189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131928168960000).

73128908189376 is an abundant number, since it is smaller than the sum of its proper divisors (190727429730624).

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

73128908189376 is a wasteful number, since it uses less digits than its factorization.

73128908189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 73128908189376 in words is "seventy-three trillion, one hundred twenty-eight billion, nine hundred eight million, one hundred eighty-nine thousand, three hundred seventy-six".