72105800 has 48 divisors (see below), whose sum is σ = 180548340. Its totient is φ = 26622720.

The previous prime is 72105799. The next prime is 72105829. The reversal of 72105800 is 850127.

It can be written as a sum of positive squares in 6 ways, for example, as 5943844 + 66161956 = 2438^2 + 8134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11267 + ... + 16466.

Almost surely, 2^72105800 is an apocalyptic number.

It is an amenable number.

72105800 is an abundant number, since it is smaller than the sum of its proper divisors (108442540).

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

72105800 is a wasteful number, since it uses less digits than its factorization.

72105800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27762 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 72105800 is about 8491.5134104587. The cubic root of 72105800 is about 416.2204360562.

Adding to 72105800 its reverse (850127), we get a palindrome (72955927).

It can be divided in two parts, 72 and 105800, that multiplied together give a square (7617600 = 2760²).

The spelling of 72105800 in words is "seventy-two million, one hundred five thousand, eight hundred".