71245930700 has 288 divisors, whose sum is σ = 191271757824. Its totient is φ = 22481141760.

The previous prime is 71245930667. The next prime is 71245930711. The reversal of 71245930700 is 703954217.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153878669 + ... + 153879131.

It is an arithmetic number, because the mean of its divisors is an integer number (664138048).

Almost surely, 2^71245930700 is an apocalyptic number.

71245930700 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 71245930700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95635878912).

71245930700 is an abundant number, since it is smaller than the sum of its proper divisors (120025827124).

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

71245930700 is a wasteful number, since it uses less digits than its factorization.

71245930700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 71245930700 in words is "seventy-one billion, two hundred forty-five million, nine hundred thirty thousand, seven hundred".