71371440 has 360 divisors, whose sum is σ = 296930400. Its totient is φ = 15353856.

The previous prime is 71371411. The next prime is 71371441. The reversal of 71371440 is 4417317.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (71371441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4198312 + ... + 4198328.

Almost surely, 2^71371440 is an apocalyptic number.

71371440 is a gapful number since it is divisible by the number (70) 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 71371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148465200).

71371440 is an abundant number, since it is smaller than the sum of its proper divisors (225558960).

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

71371440 is a wasteful number, since it uses less digits than its factorization.

71371440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 71371440 is about 8448.1619302663. The cubic root of 71371440 is about 414.8026157678.

Adding to 71371440 its reverse (4417317), we get a palindrome (75788757).

The spelling of 71371440 in words is "seventy-one million, three hundred seventy-one thousand, four hundred forty".