71388 has 24 divisors (see below), whose sum is σ = 185360. Its totient is φ = 23760.

The previous prime is 71387. The next prime is 71389. The reversal of 71388 is 88317.

It is an interprime number because it is at equal distance from previous prime (71387) and next prime (71389).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71388.

It is not an unprimeable number, because it can be changed into a prime (71387) 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, 223 + ... + 438.

2⁷¹³⁸⁸ is an apocalyptic number.

It is an amenable number.

71388 is an abundant number, since it is smaller than the sum of its proper divisors (113972).

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 (92680).

71388 is a wasteful number, since it uses less digits than its factorization.

71388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 71388 is about 267.1853289385. The cubic root of 71388 is about 41.4834694893.

The spelling of 71388 in words is "seventy-one thousand, three hundred eighty-eight".