71124144 has 160 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 17750016.

The previous prime is 71124139. The next prime is 71124149. The reversal of 71124144 is 44142117.

It is an interprime number because it is at equal distance from previous prime (71124139) and next prime (71124149).

It is a super-3 number, since 3×71124144³ (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71124149) 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 31 ways as a sum of consecutive naturals, for example, 82564 + ... + 83420.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^71124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

71124144 is an abundant number, since it is smaller than the sum of its proper divisors (167193936).

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

71124144 is a wasteful number, since it uses less digits than its factorization.

71124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 71124144 is about 8433.5131469631. The cubic root of 71124144 is about 414.3229760494.

The spelling of 71124144 in words is "seventy-one million, one hundred twenty-four thousand, one hundred forty-four".