71636040 has 288 divisors, whose sum is σ = 281698560. Its totient is φ = 15724800.

The previous prime is 71636039. The next prime is 71636041. The reversal of 71636040 is 4063617.

It is an interprime number because it is at equal distance from previous prime (71636039) and next prime (71636041).

It is a junction number, because it is equal to n+sod(n) for n = 71635995 and 71636013.

It is not an unprimeable number, because it can be changed into a prime (71636041) 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, 546775 + ... + 546905.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 2^71636040 is an apocalyptic number.

71636040 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 71636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

71636040 is an abundant number, since it is smaller than the sum of its proper divisors (210062520).

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

71636040 is a wasteful number, since it uses less digits than its factorization.

71636040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 71636040 is about 8463.8076537691. The cubic root of 71636040 is about 415.3145918685.

Adding to 71636040 its reverse (4063617), we get a palindrome (75699657).

It can be divided in two parts, 7163 and 6040, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 71636040 in words is "seventy-one million, six hundred thirty-six thousand, forty".