71212288 has 72 divisors (see below), whose sum is σ = 165972800. Its totient is φ = 30481920.

The previous prime is 71212283. The next prime is 71212291. The reversal of 71212288 is 88221217.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71212283) 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 7 ways as a sum of consecutive naturals, for example, 87403 + ... + 88213.

Almost surely, 2^71212288 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 71212288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82986400).

71212288 is an abundant number, since it is smaller than the sum of its proper divisors (94760512).

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

71212288 is an frugal number, since it uses more digits than its factorization.

71212288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 820 counting only the distinct ones).

The product of its digits is 3584, while the sum is 31.

The square root of 71212288 is about 8438.7373463096. The cubic root of 71212288 is about 414.4940619204.

It can be divided in two parts, 7121 and 2288, that added together give a square (9409 = 97²).

The spelling of 71212288 in words is "seventy-one million, two hundred twelve thousand, two hundred eighty-eight".