71947224 has 128 divisors (see below), whose sum is σ = 215424000. Its totient is φ = 22177152.

The previous prime is 71947219. The next prime is 71947259. The reversal of 71947224 is 42274917.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192702 + ... + 193074.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000).

Almost surely, 2^71947224 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 71947224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712000).

71947224 is an abundant number, since it is smaller than the sum of its proper divisors (143476776).

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

71947224 is a wasteful number, since it uses less digits than its factorization.

71947224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71947224 is about 8482.1709485249. The cubic root of 71947224 is about 415.9150930018.

The spelling of 71947224 in words is "seventy-one million, nine hundred forty-seven thousand, two hundred twenty-four".