71381408 has 48 divisors (see below), whose sum is σ = 161441280. Its totient is φ = 30433536.

The previous prime is 71381381. The next prime is 71381467. The reversal of 71381408 is 80418317.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49238 + ... + 50666.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2^71381408 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 71381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

71381408 is an abundant number, since it is smaller than the sum of its proper divisors (90059872).

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

71381408 is a wasteful number, since it uses less digits than its factorization.

71381408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 71381408 is about 8448.7518604821. The cubic root of 71381408 is about 414.8219258261.

The spelling of 71381408 in words is "seventy-one million, three hundred eighty-one thousand, four hundred eight".