71757841 has 9 divisors (see below), whose sum is σ = 73840251. Its totient is φ = 69733272.

The previous prime is 71757817. The next prime is 71757853. The reversal of 71757841 is 14875717.

The square root of 71757841 is 8471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 1449616 = 8385^2 + 1204^2 .

It is not a de Polignac number, because 71757841 - 2⁵ = 71757809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71757794 and 71757803.

It is not an unprimeable number, because it can be changed into a prime (71757811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 364155 + ... + 364351.

Almost surely, 2^71757841 is an apocalyptic number.

71757841 is the 8471-st square number.

71757841 is the 4236-th centered octagonal number.

It is an amenable number.

71757841 is a deficient number, since it is larger than the sum of its proper divisors (2082410).

71757841 is an frugal number, since it uses more digits than its factorization.

71757841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its digits is 54880, while the sum is 40.

The cubic root of 71757841 is about 415.5498416569.

The spelling of 71757841 in words is "seventy-one million, seven hundred fifty-seven thousand, eight hundred forty-one".