71363840 has 72 divisors (see below), whose sum is σ = 172677120. Its totient is φ = 28256256.

The previous prime is 71363837. The next prime is 71363843. The reversal of 71363840 is 4836317.

It is an interprime number because it is at equal distance from previous prime (71363837) and next prime (71363843).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 71363797 and 71363806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71363843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162341 + ... + 162779.

Almost surely, 2^71363840 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 71363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

71363840 is an abundant number, since it is smaller than the sum of its proper divisors (101313280).

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

71363840 is a wasteful number, since it uses less digits than its factorization.

71363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 71363840 is about 8447.7121163070. The cubic root of 71363840 is about 414.7878918026.

The spelling of 71363840 in words is "seventy-one million, three hundred sixty-three thousand, eight hundred forty".