71386416 has 60 divisors (see below), whose sum is σ = 201764368. Its totient is φ = 23559552.

The previous prime is 71386387. The next prime is 71386433. The reversal of 71386416 is 61468317.

71386416 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 641 + 6 = 666.

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

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, 12426 + ... + 17238.

Almost surely, 2^71386416 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 71386416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100882184).

71386416 is an abundant number, since it is smaller than the sum of its proper divisors (130377952).

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

71386416 is a wasteful number, since it uses less digits than its factorization.

71386416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4921 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 71386416 is about 8449.0482304222. The cubic root of 71386416 is about 414.8316266697.

The spelling of 71386416 in words is "seventy-one million, three hundred eighty-six thousand, four hundred sixteen".