47805072 has 80 divisors (see below), whose sum is σ = 143145600. Its totient is φ = 13464576.

The previous prime is 47805067. The next prime is 47805077. The reversal of 47805072 is 27050874.

It is an interprime number because it is at equal distance from previous prime (47805067) and next prime (47805077).

It is not an unprimeable number, because it can be changed into a prime (47805077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23554 + ... + 25502.

It is an arithmetic number, because the mean of its divisors is an integer number (1789320).

Almost surely, 2^47805072 is an apocalyptic number.

47805072 is a gapful number since it is divisible by the number (42) 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 47805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572800).

47805072 is an abundant number, since it is smaller than the sum of its proper divisors (95340528).

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

47805072 is a wasteful number, since it uses less digits than its factorization.

47805072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 47805072 is about 6914.1212022932. The cubic root of 47805072 is about 362.9314960015.

The spelling of 47805072 in words is "forty-seven million, eight hundred five thousand, seventy-two".