71245803720 has 512 divisors, whose sum is σ = 275649454080. Its totient is φ = 14318346240.

The previous prime is 71245803677. The next prime is 71245803757. The reversal of 71245803720 is 2730854217.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83133532 + ... + 83134388.

It is an arithmetic number, because the mean of its divisors is an integer number (538377840).

Almost surely, 2^71245803720 is an apocalyptic number.

71245803720 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 71245803720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137824727040).

71245803720 is an abundant number, since it is smaller than the sum of its proper divisors (204403650360).

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

71245803720 is a wasteful number, since it uses less digits than its factorization.

71245803720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 71245803720 in words is "seventy-one billion, two hundred forty-five million, eight hundred three thousand, seven hundred twenty".