47720160 has 144 divisors (see below), whose sum is σ = 168255360. Its totient is φ = 12303360.

The previous prime is 47720149. The next prime is 47720161. The reversal of 47720160 is 6102774.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47720161) 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 23 ways as a sum of consecutive naturals, for example, 44106 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (1168440).

Almost surely, 2^47720160 is an apocalyptic number.

47720160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84127680).

47720160 is an abundant number, since it is smaller than the sum of its proper divisors (120535200).

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

47720160 is a wasteful number, since it uses less digits than its factorization.

47720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 47720160 is about 6907.9779964907. The cubic root of 47720160 is about 362.7164874127.

The spelling of 47720160 in words is "forty-seven million, seven hundred twenty thousand, one hundred sixty".