72805000 has 40 divisors (see below), whose sum is σ = 170593830. Its totient is φ = 29120000.

The previous prime is 72804983. The next prime is 72805001. The reversal of 72805000 is 50827.

It can be written as a sum of positive squares in 5 ways, for example, as 7873636 + 64931364 = 2806^2 + 8058^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72805001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2281 + ... + 12280.

Almost surely, 2^72805000 is an apocalyptic number.

It is an amenable number.

72805000 is an abundant number, since it is smaller than the sum of its proper divisors (97788830).

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

72805000 is a wasteful number, since it uses less digits than its factorization.

72805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14587 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72805000 is about 8532.5846025691. The cubic root of 72805000 is about 417.5614548521.

Adding to 72805000 its reverse (50827), we get a palindrome (72855827).

The spelling of 72805000 in words is "seventy-two million, eight hundred five thousand".