73271605120 has 320 divisors, whose sum is σ = 209510990640. Its totient is φ = 24487895040.

The previous prime is 73271605063. The next prime is 73271605133. The reversal of 73271605120 is 2150617237.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×73271605120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63001659 + ... + 63002821.

Almost surely, 2^73271605120 is an apocalyptic number.

73271605120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73271605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755495320).

73271605120 is an abundant number, since it is smaller than the sum of its proper divisors (136239385520).

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

73271605120 is an equidigital number, since it uses as much as digits as its factorization.

73271605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 73271605120 in words is "seventy-three billion, two hundred seventy-one million, six hundred five thousand, one hundred twenty".