73630128 has 160 divisors (see below), whose sum is σ = 236984832. Its totient is φ = 19353600.

The previous prime is 73630127. The next prime is 73630157. The reversal of 73630128 is 82103637.

It is a junction number, because it is equal to n+sod(n) for n = 73630095 and 73630104.

It is not an unprimeable number, because it can be changed into a prime (73630121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116373 + ... + 117003.

Almost surely, 2^73630128 is an apocalyptic number.

73630128 is a gapful number since it is divisible by the number (78) 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 73630128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492416).

73630128 is an abundant number, since it is smaller than the sum of its proper divisors (163354704).

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

73630128 is a wasteful number, since it uses less digits than its factorization.

73630128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 73630128 is about 8580.7999627074. The cubic root of 73630128 is about 419.1329960600.

The spelling of 73630128 in words is "seventy-three million, six hundred thirty thousand, one hundred twenty-eight".