73701261312 has 168 divisors, whose sum is σ = 224680369536. Its totient is φ = 21051211776.

The previous prime is 73701261311. The next prime is 73701261331. The reversal of 73701261312 is 21316210737.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×73701261312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73701261311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22018423 + ... + 22021769.

It is an arithmetic number, because the mean of its divisors is an integer number (1337383152).

Almost surely, 2^73701261312 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 73701261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112340184768).

73701261312 is an abundant number, since it is smaller than the sum of its proper divisors (150979108224).

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

73701261312 is an frugal number, since it uses more digits than its factorization.

73701261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 73701261312 in words is "seventy-three billion, seven hundred one million, two hundred sixty-one thousand, three hundred twelve".