73111031672 has 64 divisors (see below), whose sum is σ = 158555517120. Its totient is φ = 30956617728.

The previous prime is 73111031659. The next prime is 73111031717. The reversal of 73111031672 is 27613011137.

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 15 ways as a sum of consecutive naturals, for example, 3209828 + ... + 3232524.

It is an arithmetic number, because the mean of its divisors is an integer number (2477429955).

Almost surely, 2^73111031672 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 73111031672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79277758560).

73111031672 is an abundant number, since it is smaller than the sum of its proper divisors (85444485448).

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

73111031672 is a wasteful number, since it uses less digits than its factorization.

73111031672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23400 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 73111031672 in words is "seventy-three billion, one hundred eleven million, thirty-one thousand, six hundred seventy-two".