73190628 has 144 divisors (see below), whose sum is σ = 226996224. Its totient is φ = 20178720.

The previous prime is 73190587. The next prime is 73190629. The reversal of 73190628 is 82609137.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73190592 and 73190601.

It is not an unprimeable number, because it can be changed into a prime (73190629) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 210751 + ... + 211097.

Almost surely, 2^73190628 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 73190628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113498112).

73190628 is an abundant number, since it is smaller than the sum of its proper divisors (153805596).

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

73190628 is a wasteful number, since it uses less digits than its factorization.

73190628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73190628 is about 8555.1521319027. The cubic root of 73190628 is about 418.2973929678.

The spelling of 73190628 in words is "seventy-three million, one hundred ninety thousand, six hundred twenty-eight".