47365920 has 288 divisors, whose sum is σ = 191213568. Its totient is φ = 10450944.

The previous prime is 47365909. The next prime is 47365933. The reversal of 47365920 is 2956374.

47365920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372897 + ... + 373023.

It is an arithmetic number, because the mean of its divisors is an integer number (663936).

Almost surely, 2^47365920 is an apocalyptic number.

47365920 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 47365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95606784).

47365920 is an abundant number, since it is smaller than the sum of its proper divisors (143847648).

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

47365920 is a wasteful number, since it uses less digits than its factorization.

47365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 47365920 is about 6882.2903164572. The cubic root of 47365920 is about 361.8167423018.

The spelling of 47365920 in words is "forty-seven million, three hundred sixty-five thousand, nine hundred twenty".