71882720280 has 576 divisors, whose sum is σ = 278679398400. Its totient is φ = 15737702400.

The previous prime is 71882720263. The next prime is 71882720291. The reversal of 71882720280 is 8202728817.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 300764401 + ... + 300764639.

It is an arithmetic number, because the mean of its divisors is an integer number (483818400).

Almost surely, 2^71882720280 is an apocalyptic number.

71882720280 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 71882720280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139339699200).

71882720280 is an abundant number, since it is smaller than the sum of its proper divisors (206796678120).

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

71882720280 is a wasteful number, since it uses less digits than its factorization.

71882720280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 71882720280 in words is "seventy-one billion, eight hundred eighty-two million, seven hundred twenty thousand, two hundred eighty".