72804210 has 64 divisors (see below), whose sum is σ = 183600000. Its totient is φ = 18450432.

The previous prime is 72804209. The next prime is 72804241. The reversal of 72804210 is 1240827.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57666 + ... + 58914.

It is an arithmetic number, because the mean of its divisors is an integer number (2868750).

Almost surely, 2^72804210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72804210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800000).

72804210 is an abundant number, since it is smaller than the sum of its proper divisors (110795790).

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

72804210 is a wasteful number, since it uses less digits than its factorization.

72804210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 72804210 is about 8532.5383093192. The cubic root of 72804210 is about 417.5599445404.

The spelling of 72804210 in words is "seventy-two million, eight hundred four thousand, two hundred ten".