73630080 has 128 divisors (see below), whose sum is σ = 260834400. Its totient is φ = 19630080.

The previous prime is 73630049. The next prime is 73630093. The reversal of 73630080 is 8003637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15150 + ... + 19410.

Almost surely, 2^73630080 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 73630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130417200).

73630080 is an abundant number, since it is smaller than the sum of its proper divisors (187204320).

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

73630080 is a wasteful number, since it uses less digits than its factorization.

73630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4271 counting only the distinct ones).

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

The square root of 73630080 is about 8580.7971657650. The cubic root of 73630080 is about 419.1329049814.

The spelling of 73630080 in words is "seventy-three million, six hundred thirty thousand, eighty".