71742636 has 72 divisors (see below), whose sum is σ = 214425120. Its totient is φ = 19789056.

The previous prime is 71742617. The next prime is 71742637. The reversal of 71742636 is 63624717.

71742636 is a `hidden beast` number, since 7 + 17 + 4 + 2 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71742636.

It is not an unprimeable number, because it can be changed into a prime (71742637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2400 + ... + 12216.

Almost surely, 2^71742636 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 71742636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107212560).

71742636 is an abundant number, since it is smaller than the sum of its proper divisors (142682484).

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

71742636 is a wasteful number, since it uses less digits than its factorization.

71742636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9863 (or 9858 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 71742636 is about 8470.1024787189. The cubic root of 71742636 is about 415.5204888522.

The spelling of 71742636 in words is "seventy-one million, seven hundred forty-two thousand, six hundred thirty-six".