73028100 has 72 divisors (see below), whose sum is σ = 212416960. Its totient is φ = 19370880.

The previous prime is 73028071. The next prime is 73028101. The reversal of 73028100 is 182037.

It is a super-2 number, since 2×73028100² = 10666206779220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73028101) 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, 68169 + ... + 69231.

Almost surely, 2^73028100 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 73028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106208480).

73028100 is an abundant number, since it is smaller than the sum of its proper divisors (139388860).

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

73028100 is a wasteful number, since it uses less digits than its factorization.

73028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 73028100 is about 8545.6480152180. The cubic root of 73028100 is about 417.9875380701.

The spelling of 73028100 in words is "seventy-three million, twenty-eight thousand, one hundred".