73275228180 has 1152 divisors, whose sum is σ = 312744499200. Its totient is φ = 14031360000.

The previous prime is 73275228161. The next prime is 73275228199. The reversal of 73275228180 is 8182257237.

It is an interprime number because it is at equal distance from previous prime (73275228161) and next prime (73275228199).

It is a super-2 number, since 2×73275228180² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291933055 + ... + 291933305.

It is an arithmetic number, because the mean of its divisors is an integer number (271479600).

Almost surely, 2^73275228180 is an apocalyptic number.

73275228180 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 73275228180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156372249600).

73275228180 is an abundant number, since it is smaller than the sum of its proper divisors (239469271020).

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

73275228180 is a wasteful number, since it uses less digits than its factorization.

73275228180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 73275228180 in words is "seventy-three billion, two hundred seventy-five million, two hundred twenty-eight thousand, one hundred eighty".