71125824 has 224 divisors, whose sum is σ = 249302016. Its totient is φ = 17326080.

The previous prime is 71125823. The next prime is 71125837. The reversal of 71125824 is 42852117.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 71125791 and 71125800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71125823) 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, 251187 + ... + 251469.

Almost surely, 2^71125824 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 71125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124651008).

71125824 is an abundant number, since it is smaller than the sum of its proper divisors (178176192).

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

71125824 is a wasteful number, since it uses less digits than its factorization.

71125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 71125824 is about 8433.6127489943. The cubic root of 71125824 is about 414.3262382193.

The spelling of 71125824 in words is "seventy-one million, one hundred twenty-five thousand, eight hundred twenty-four".