71807040 has 112 divisors (see below), whose sum is σ = 253349760. Its totient is φ = 19146240.

The previous prime is 71807017. The next prime is 71807041. The reversal of 71807040 is 4070817.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71806995 and 71807013.

It is not an unprimeable number, because it can be changed into a prime (71807041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4485 + ... + 12795.

Almost surely, 2^71807040 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 71807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126674880).

71807040 is an abundant number, since it is smaller than the sum of its proper divisors (181542720).

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

71807040 is a wasteful number, since it uses less digits than its factorization.

71807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 71807040 is about 8473.9034688861. The cubic root of 71807040 is about 415.6447904723.

Adding to 71807040 its reverse (4070817), we get a palindrome (75877857).

The spelling of 71807040 in words is "seventy-one million, eight hundred seven thousand, forty".