71125632 has 96 divisors (see below), whose sum is σ = 211828500. Its totient is φ = 22880256.

The previous prime is 71125601. The next prime is 71125651. The reversal of 71125632 is 23652117.

It is a happy number.

71125632 is a `hidden beast` number, since 7 + 1 + 1 + 25 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 968256 = 8376^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 71125596 and 71125605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32344 + ... + 34472.

Almost surely, 2^71125632 is an apocalyptic number.

71125632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105914250).

71125632 is an abundant number, since it is smaller than the sum of its proper divisors (140702868).

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

71125632 is a wasteful number, since it uses less digits than its factorization.

71125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2163 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 71125632 is about 8433.6013659646. The cubic root of 71125632 is about 414.3258654025.

Adding to 71125632 its reverse (23652117), we get a palindrome (94777749).

The spelling of 71125632 in words is "seventy-one million, one hundred twenty-five thousand, six hundred thirty-two".