71678628 has 96 divisors (see below), whose sum is σ = 216115200. Its totient is φ = 20119968.

The previous prime is 71678617. The next prime is 71678639. The reversal of 71678628 is 82687617.

71678628 is a `hidden beast` number, since 7 + 16 + 7 + 8 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (71678617) and next prime (71678639).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43801 + ... + 45407.

It is an arithmetic number, because the mean of its divisors is an integer number (2251200).

Almost surely, 2^71678628 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 71678628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108057600).

71678628 is an abundant number, since it is smaller than the sum of its proper divisors (144436572).

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

71678628 is a wasteful number, since it uses less digits than its factorization.

71678628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 71678628 is about 8466.3231688851. The cubic root of 71678628 is about 415.3968777956.

The spelling of 71678628 in words is "seventy-one million, six hundred seventy-eight thousand, six hundred twenty-eight".