71416512 has 112 divisors (see below), whose sum is σ = 215818720. Its totient is φ = 23141376.

The previous prime is 71416511. The next prime is 71416517. The reversal of 71416512 is 21561417.

It is a happy number.

71416512 is a `hidden beast` number, since 7 + 1 + 4 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×71416512² = 10200636372492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71416511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63378 + ... + 64494.

Almost surely, 2^71416512 is an apocalyptic number.

71416512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909360).

71416512 is an abundant number, since it is smaller than the sum of its proper divisors (144402208).

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

71416512 is a wasteful number, since it uses less digits than its factorization.

71416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1159 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71416512 is about 8450.8290717538. The cubic root of 71416512 is about 414.8899151567.

Adding to 71416512 its reverse (21561417), we get a palindrome (92977929).

The spelling of 71416512 in words is "seventy-one million, four hundred sixteen thousand, five hundred twelve".