47759520 has 192 divisors, whose sum is σ = 161118720. Its totient is φ = 11870208.

The previous prime is 47759507. The next prime is 47759533. The reversal of 47759520 is 2595774.

It is an interprime number because it is at equal distance from previous prime (47759507) and next prime (47759533).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654204 + ... + 654276.

It is an arithmetic number, because the mean of its divisors is an integer number (839160).

Almost surely, 2^47759520 is an apocalyptic number.

47759520 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 47759520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80559360).

47759520 is an abundant number, since it is smaller than the sum of its proper divisors (113359200).

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

47759520 is a wasteful number, since it uses less digits than its factorization.

47759520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 47759520 is about 6910.8262892363. The cubic root of 47759520 is about 362.8161839044.

The spelling of 47759520 in words is "forty-seven million, seven hundred fifty-nine thousand, five hundred twenty".