71736240 has 80 divisors (see below), whose sum is σ = 223200000. Its totient is φ = 19059456.

The previous prime is 71736239. The next prime is 71736299. The reversal of 71736240 is 4263717.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 71736198 and 71736207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119461 + ... + 120059.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2^71736240 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 71736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600000).

71736240 is an abundant number, since it is smaller than the sum of its proper divisors (151463760).

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

71736240 is a wasteful number, since it uses less digits than its factorization.

71736240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 71736240 is about 8469.7249069849. The cubic root of 71736240 is about 415.5081403234.

Adding to 71736240 its reverse (4263717), we get a palindrome (75999957).

The spelling of 71736240 in words is "seventy-one million, seven hundred thirty-six thousand, two hundred forty".