73274181120 has 1120 divisors, whose sum is σ = 309143070720. Its totient is φ = 16303472640.

The previous prime is 73274181073. The next prime is 73274181137. The reversal of 73274181120 is 2118147237.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 927521241 + ... + 927521319.

Almost surely, 2^73274181120 is an apocalyptic number.

73274181120 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 73274181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154571535360).

73274181120 is an abundant number, since it is smaller than the sum of its proper divisors (235868889600).

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

73274181120 is an frugal number, since it uses more digits than its factorization.

73274181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 73274181120 in words is "seventy-three billion, two hundred seventy-four million, one hundred eighty-one thousand, one hundred twenty".