47200720 has 60 divisors (see below), whose sum is σ = 127669284. Its totient is φ = 16181760.

The previous prime is 47200709. The next prime is 47200723. The reversal of 47200720 is 2700274.

It can be written as a sum of positive squares in 2 ways, for example, as 23464336 + 23736384 = 4844^2 + 4872^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47200691 and 47200700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47200723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2101 + ... + 9940.

Almost surely, 2^47200720 is an apocalyptic number.

47200720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47200720 is an abundant number, since it is smaller than the sum of its proper divisors (80468564).

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

47200720 is a wasteful number, since it uses less digits than its factorization.

47200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 47200720 is about 6870.2780147531. The cubic root of 47200720 is about 361.3956114504.

Adding to 47200720 its reverse (2700274), we get a palindrome (49900994).

The spelling of 47200720 in words is "forty-seven million, two hundred thousand, seven hundred twenty".