71088 has 20 divisors (see below), whose sum is σ = 183768. Its totient is φ = 23680.

The previous prime is 71081. The next prime is 71089. The reversal of 71088 is 88017.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (71081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 693 + ... + 788.

2⁷¹⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

71088 is an abundant number, since it is smaller than the sum of its proper divisors (112680).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91884).

71088 is a wasteful number, since it uses less digits than its factorization.

71088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 71088 is about 266.6233298119. The cubic root of 71088 is about 41.4252780350.

The spelling of 71088 in words is "seventy-one thousand, eighty-eight".