71221248 has 240 divisors, whose sum is σ = 251650560. Its totient is φ = 19464192.

The previous prime is 71221217. The next prime is 71221259. The reversal of 71221248 is 84212217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096565 + ... + 3096587.

It is an arithmetic number, because the mean of its divisors is an integer number (1048544).

Almost surely, 2^71221248 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 71221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125825280).

71221248 is an abundant number, since it is smaller than the sum of its proper divisors (180429312).

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

71221248 is an equidigital number, since it uses as much as digits as its factorization.

71221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 71221248 is about 8439.2682147210. The cubic root of 71221248 is about 414.5114452079.

The spelling of 71221248 in words is "seventy-one million, two hundred twenty-one thousand, two hundred forty-eight".