73117165772 has 48 divisors (see below), whose sum is σ = 150344823552. Its totient is φ = 30462022080.

The previous prime is 73117165763. The next prime is 73117165783. The reversal of 73117165772 is 27756171137.

It is a super-2 number, since 2×73117165772² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110138 + ... + 397950.

It is an arithmetic number, because the mean of its divisors is an integer number (3132183824).

Almost surely, 2^73117165772 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 73117165772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75172411776).

73117165772 is an abundant number, since it is smaller than the sum of its proper divisors (77227657780).

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

73117165772 is a wasteful number, since it uses less digits than its factorization.

73117165772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288078 (or 288076 counting only the distinct ones).

The product of its digits is 432180, while the sum is 47.

The spelling of 73117165772 in words is "seventy-three billion, one hundred seventeen million, one hundred sixty-five thousand, seven hundred seventy-two".