71577140 has 48 divisors (see below), whose sum is σ = 164312064. Its totient is φ = 26073600.

The previous prime is 71577137. The next prime is 71577151. The reversal of 71577140 is 4177517.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71577097 and 71577106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7145 + ... + 13935.

It is an arithmetic number, because the mean of its divisors is an integer number (3423168).

Almost surely, 2^71577140 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 71577140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82156032).

71577140 is an abundant number, since it is smaller than the sum of its proper divisors (92734924).

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

71577140 is a wasteful number, since it uses less digits than its factorization.

71577140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 71577140 is about 8460.3274168320. The cubic root of 71577140 is about 415.2007351336.

It can be divided in two parts, 71577 and 140, that added together give a palindrome (71717).

The spelling of 71577140 in words is "seventy-one million, five hundred seventy-seven thousand, one hundred forty".