71827720 has 64 divisors (see below), whose sum is σ = 174435120. Its totient is φ = 26517504.

The previous prime is 71827699. The next prime is 71827727. The reversal of 71827720 is 2772817.

It can be written as a sum of positive squares in 8 ways, for example, as 56881764 + 14945956 = 7542^2 + 3866^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (71827727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35044 + ... + 37036.

Almost surely, 2^71827720 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 71827720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87217560).

71827720 is an abundant number, since it is smaller than the sum of its proper divisors (102607400).

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

71827720 is a wasteful number, since it uses less digits than its factorization.

71827720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 71827720 is about 8475.1235979188. The cubic root of 71827720 is about 415.6846877175.

The spelling of 71827720 in words is "seventy-one million, eight hundred twenty-seven thousand, seven hundred twenty".