71241720 has 128 divisors (see below), whose sum is σ = 240814080. Its totient is φ = 16704000.

The previous prime is 71241683. The next prime is 71241721. The reversal of 71241720 is 2714217.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71241721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40050 + ... + 41790.

It is an arithmetic number, because the mean of its divisors is an integer number (1881360).

Almost surely, 2^71241720 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 71241720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120407040).

71241720 is an abundant number, since it is smaller than the sum of its proper divisors (169572360).

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

71241720 is a wasteful number, since it uses less digits than its factorization.

71241720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 71241720 is about 8440.4810289462. The cubic root of 71241720 is about 414.5511574455.

Adding to 71241720 its reverse (2714217), we get a palindrome (73955937).

The spelling of 71241720 in words is "seventy-one million, two hundred forty-one thousand, seven hundred twenty".