73840180 has 48 divisors (see below), whose sum is σ = 168222096. Its totient is φ = 27115520.

The previous prime is 73840153. The next prime is 73840201. The reversal of 73840180 is 8104837.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86436 + 73753744 = 294^2 + 8588^2 .

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 15 ways as a sum of consecutive naturals, for example, 11292 + ... + 16588.

It is an arithmetic number, because the mean of its divisors is an integer number (3504627).

Almost surely, 2^73840180 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 73840180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84111048).

73840180 is an abundant number, since it is smaller than the sum of its proper divisors (94381916).

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

73840180 is a wasteful number, since it uses less digits than its factorization.

73840180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 73840180 is about 8593.0308971864. The cubic root of 73840180 is about 419.5311851303.

The spelling of 73840180 in words is "seventy-three million, eight hundred forty thousand, one hundred eighty".