47088 has 40 divisors (see below), whose sum is σ = 136400. Its totient is φ = 15552.

The previous prime is 47087. The next prime is 47093. The reversal of 47088 is 88074.

It is a happy number.

It is a Cunningham number, because it is equal to 217²-1.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (3410).

2⁴⁷⁰⁸⁸ is an apocalyptic number.

47088 is a gapful number since it is divisible by the number (48) 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 47088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68200).

47088 is an abundant number, since it is smaller than the sum of its proper divisors (89312).

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

47088 is a wasteful number, since it uses less digits than its factorization.

47088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47088 is about 216.9976958403. The cubic root of 47088 is about 36.1107699288.

The spelling of 47088 in words is "forty-seven thousand, eighty-eight".