73383180 has 72 divisors (see below), whose sum is σ = 222525072. Its totient is φ = 18061056.

The previous prime is 73383151. The next prime is 73383181. The reversal of 73383180 is 8138337.

It is a super-2 number, since 2×73383180² = 10770182213824800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73383181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522 + ... + 13758.

It is an arithmetic number, because the mean of its divisors is an integer number (3090626).

Almost surely, 2^73383180 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 73383180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111262536).

73383180 is an abundant number, since it is smaller than the sum of its proper divisors (149141892).

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

73383180 is a wasteful number, since it uses less digits than its factorization.

73383180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 73383180 is about 8566.3983096748. The cubic root of 73383180 is about 418.6638946742.

The spelling of 73383180 in words is "seventy-three million, three hundred eighty-three thousand, one hundred eighty".