47365760 has 64 divisors (see below), whose sum is σ = 121965480. Its totient is φ = 17485824.

The previous prime is 47365751. The next prime is 47365771. The reversal of 47365760 is 6756374.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 27793984 = 4424^2 + 5272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5474 + ... + 11166.

Almost surely, 2^47365760 is an apocalyptic number.

47365760 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 47365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60982740).

47365760 is an abundant number, since it is smaller than the sum of its proper divisors (74599720).

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

47365760 is a wasteful number, since it uses less digits than its factorization.

47365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 47365760 is about 6882.2786924099. The cubic root of 47365760 is about 361.8163349010.

The spelling of 47365760 in words is "forty-seven million, three hundred sixty-five thousand, seven hundred sixty".