73680030 has 72 divisors (see below), whose sum is σ = 199103112. Its totient is φ = 19630512.

The previous prime is 73680029. The next prime is 73680031. The reversal of 73680030 is 3008637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73680029) and next prime (73680031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73679976 and 73680003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73680031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65049 + ... + 66171.

It is an arithmetic number, because the mean of its divisors is an integer number (2765321).

Almost surely, 2^73680030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73680030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99551556).

73680030 is an abundant number, since it is smaller than the sum of its proper divisors (125423082).

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

73680030 is an equidigital number, since it uses as much as digits as its factorization.

73680030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73680030 is about 8583.7072410468. The cubic root of 73680030 is about 419.2276622518.

Adding to 73680030 its reverse (3008637), we get a palindrome (76688667).

The spelling of 73680030 in words is "seventy-three million, six hundred eighty thousand, thirty".