71429840 has 40 divisors (see below), whose sum is σ = 167025768. Its totient is φ = 28408320.

The previous prime is 71429833. The next prime is 71429861. The reversal of 71429840 is 4892417.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 70492816 = 968^2 + 8396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 71429840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12014 + ... + 16946.

Almost surely, 2^71429840 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 71429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83512884).

71429840 is an abundant number, since it is smaller than the sum of its proper divisors (95595928).

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

71429840 is a wasteful number, since it uses less digits than its factorization.

71429840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 71429840 is about 8451.6175966498. The cubic root of 71429840 is about 414.9157229551.

The spelling of 71429840 in words is "seventy-one million, four hundred twenty-nine thousand, eight hundred forty".