71271648 has 72 divisors (see below), whose sum is σ = 231639408. Its totient is φ = 20362752.

The previous prime is 71271631. The next prime is 71271661. The reversal of 71271648 is 84617217.

71271648 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 15661 + ... + 19692.

It is an arithmetic number, because the mean of its divisors is an integer number (3217214).

Almost surely, 2^71271648 is an apocalyptic number.

It is an amenable number.

71271648 is an abundant number, since it is smaller than the sum of its proper divisors (160367760).

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

71271648 is a wasteful number, since it uses less digits than its factorization.

71271648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35376 (or 35365 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 71271648 is about 8442.2537275303. The cubic root of 71271648 is about 414.6091990450.

The spelling of 71271648 in words is "seventy-one million, two hundred seventy-one thousand, six hundred forty-eight".