72105700 has 18 divisors (see below), whose sum is σ = 156469586. Its totient is φ = 28842240.

The previous prime is 72105697. The next prime is 72105731. The reversal of 72105700 is 750127.

It can be written as a sum of positive squares in 3 ways, for example, as 24661156 + 47444544 = 4966^2 + 6888^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 360429 + ... + 360628.

Almost surely, 2^72105700 is an apocalyptic number.

It is an amenable number.

72105700 is an abundant number, since it is smaller than the sum of its proper divisors (84363886).

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

72105700 is a wasteful number, since it uses less digits than its factorization.

72105700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721071 (or 721064 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 72105700 is about 8491.5075222248. The cubic root of 72105700 is about 416.2202436442.

Adding to 72105700 its reverse (750127), we get a palindrome (72855827).

The spelling of 72105700 in words is "seventy-two million, one hundred five thousand, seven hundred".