71429688 has 120 divisors (see below), whose sum is σ = 220152240. Its totient is φ = 21621600.

The previous prime is 71429671. The next prime is 71429693. The reversal of 71429688 is 88692417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77953 + ... + 78863.

It is an arithmetic number, because the mean of its divisors is an integer number (1834602).

Almost surely, 2^71429688 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 71429688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110076120).

71429688 is an abundant number, since it is smaller than the sum of its proper divisors (148722552).

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

71429688 is a wasteful number, since it uses less digits than its factorization.

71429688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 927 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 71429688 is about 8451.6086042836. The cubic root of 71429688 is about 414.9154286466.

The spelling of 71429688 in words is "seventy-one million, four hundred twenty-nine thousand, six hundred eighty-eight".