207072100 has 27 divisors (see below), whose sum is σ = 449658937. Its totient is φ = 82771280.

The previous prime is 207072097. The next prime is 207072109. The reversal of 207072100 is 1270702.

The square root of 207072100 is 14390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74545956 + 132526144 = 8634^2 + 11512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207072109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143181 + ... + 144619.

Almost surely, 2^207072100 is an apocalyptic number.

207072100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

207072100 is the 14390-th square number.

It is an amenable number.

207072100 is an abundant number, since it is smaller than the sum of its proper divisors (242586837).

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

207072100 is an equidigital number, since it uses as much as digits as its factorization.

207072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The cubic root of 207072100 is about 591.6168425500.

Multiplying 207072100 by its product of nonzero digits (196), we get a square (40586131600 = 201460²).

The spelling of 207072100 in words is "two hundred seven million, seventy-two thousand, one hundred".