71945395200 has 792 divisors, whose sum is σ = 304106250240. Its totient is φ = 15903129600.

The previous prime is 71945395199. The next prime is 71945395273. The reversal of 71945395200 is 259354917.

It is a happy number.

71945395200 is a `hidden beast` number, since 7 + 1 + 94 + 5 + 39 + 520 + 0 = 666.

It is a super-2 number, since 2×71945395200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49996081 + ... + 49997519.

Almost surely, 2^71945395200 is an apocalyptic number.

71945395200 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 71945395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152053125120).

71945395200 is an abundant number, since it is smaller than the sum of its proper divisors (232160855040).

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

71945395200 is a wasteful number, since it uses less digits than its factorization.

71945395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 71945395200 in words is "seventy-one billion, nine hundred forty-five million, three hundred ninety-five thousand, two hundred".