71550 has 48 divisors (see below), whose sum is σ = 200880. Its totient is φ = 18720.

The previous prime is 71549. The next prime is 71551. The reversal of 71550 is 5517.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71549) and next prime (71551).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁷¹⁵⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

71550 is an abundant number, since it is smaller than the sum of its proper divisors (129330).

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

71550 is a wasteful number, since it uses less digits than its factorization.

71550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 71550 is about 267.4883175019. The cubic root of 71550 is about 41.5148251093.

The spelling of 71550 in words is "seventy-one thousand, five hundred fifty".