71385601 has 27 divisors (see below), whose sum is σ = 89472387. Its totient is φ = 56777280.

The previous prime is 71385593. The next prime is 71385607. The reversal of 71385601 is 10658317.

The square root of 71385601 is 8449.

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., 55577025 + 15808576 = 7455^2 + 3976^2 .

It is not a de Polignac number, because 71385601 - 2³ = 71385593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71385607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1005396 + ... + 1005466.

Almost surely, 2^71385601 is an apocalyptic number.

71385601 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

71385601 is the 8449-th square number.

71385601 is the 4225-th centered octagonal number.

It is an amenable number.

71385601 is a deficient number, since it is larger than the sum of its proper divisors (18086786).

71385601 is an equidigital number, since it uses as much as digits as its factorization.

71385601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The cubic root of 71385601 is about 414.8300479890.

The spelling of 71385601 in words is "seventy-one million, three hundred eighty-five thousand, six hundred one".