71408688 has 120 divisors (see below), whose sum is σ = 210330288. Its totient is φ = 20749824.

The previous prime is 71408683. The next prime is 71408719. The reversal of 71408688 is 88680417.

It is not an unprimeable number, because it can be changed into a prime (71408683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225106 + ... + 225422.

Almost surely, 2^71408688 is an apocalyptic number.

71408688 is a gapful number since it is divisible by the number (78) 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 71408688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105165144).

71408688 is an abundant number, since it is smaller than the sum of its proper divisors (138921600).

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

71408688 is a wasteful number, since it uses less digits than its factorization.

71408688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 71408688 is about 8450.3661459134. The cubic root of 71408688 is about 414.8747635848.

The spelling of 71408688 in words is "seventy-one million, four hundred eight thousand, six hundred eighty-eight".