73081954162176 has 640 divisors, whose sum is σ = 211287126758400. Its totient is φ = 22364789145600.

The previous prime is 73081954162153. The next prime is 73081954162181. The reversal of 73081954162176 is 67126145918037.

73081954162176 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118064545995 + ... + 118064546613.

It is an arithmetic number, because the mean of its divisors is an integer number (330136135560).

It is a 1-persistent number, because it is pandigital, but 2⋅73081954162176 = 146163908324352 is not.

Almost surely, 2^{73081954162176} 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 73081954162176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105643563379200).

73081954162176 is an abundant number, since it is smaller than the sum of its proper divisors (138205172596224).

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

73081954162176 is a wasteful number, since it uses less digits than its factorization.

73081954162176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 73081954162176 in words is "seventy-three trillion, eighty-one billion, nine hundred fifty-four million, one hundred sixty-two thousand, one hundred seventy-six".