71715840 has 352 divisors, whose sum is σ = 282977280. Its totient is φ = 15138816.

The previous prime is 71715827. The next prime is 71715841. The reversal of 71715840 is 4851717.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71715841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472946 + ... + 2472974.

Almost surely, 2^71715840 is an apocalyptic number.

71715840 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 71715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

71715840 is an abundant number, since it is smaller than the sum of its proper divisors (211261440).

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

71715840 is a wasteful number, since it uses less digits than its factorization.

71715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 71715840 is about 8468.5205319465. The cubic root of 71715840 is about 415.4687498671.

The spelling of 71715840 in words is "seventy-one million, seven hundred fifteen thousand, eight hundred forty".