71387008 has 64 divisors (see below), whose sum is σ = 177333120. Its totient is φ = 27809280.

The previous prime is 71386999. The next prime is 71387011. The reversal of 71387008 is 80078317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×71387008² = 10192209822384128, which contains 22 as substring.

It is a congruent number.

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, 6235 + ... + 13477.

It is an arithmetic number, because the mean of its divisors is an integer number (2770830).

Almost surely, 2^71387008 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 71387008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88666560).

71387008 is an abundant number, since it is smaller than the sum of its proper divisors (105946112).

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

71387008 is a wasteful number, since it uses less digits than its factorization.

71387008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 71387008 is about 8449.0832638814. The cubic root of 71387008 is about 414.8327733848.

The spelling of 71387008 in words is "seventy-one million, three hundred eighty-seven thousand, eight".