73161765120 has 72 divisors (see below), whose sum is σ = 233660399616. Its totient is φ = 19509803008.

The previous prime is 73161765119. The next prime is 73161765179. The reversal of 73161765120 is 2156716137.

It is a super-2 number, since 2×73161765120² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9522432 + ... + 9530111.

It is an arithmetic number, because the mean of its divisors is an integer number (3245283328).

Almost surely, 2^73161765120 is an apocalyptic number.

It is an amenable number.

73161765120 is an abundant number, since it is smaller than the sum of its proper divisors (160498634496).

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

73161765120 is a wasteful number, since it uses less digits than its factorization.

73161765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052567 (or 19052553 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 73161765120 in words is "seventy-three billion, one hundred sixty-one million, seven hundred sixty-five thousand, one hundred twenty".