71582720000 has 560 divisors, whose sum is σ = 206359743744. Its totient is φ = 24576000000.

The previous prime is 71582719997. The next prime is 71582720009. The reversal of 71582720000 is 2728517.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (71582720009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1745919980 + ... + 1745920020.

Almost surely, 2^71582720000 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 71582720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103179871872).

71582720000 is an abundant number, since it is smaller than the sum of its proper divisors (134777023744).

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

71582720000 is an equidigital number, since it uses as much as digits as its factorization.

71582720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 71582720000 in words is "seventy-one billion, five hundred eighty-two million, seven hundred twenty thousand".