71224920 has 320 divisors, whose sum is σ = 274428000. Its totient is φ = 16422912.

The previous prime is 71224843. The next prime is 71224927. The reversal of 71224920 is 2942217.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71224927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800236 + ... + 800324.

Almost surely, 2^71224920 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 71224920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214000).

71224920 is an abundant number, since it is smaller than the sum of its proper divisors (203203080).

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

71224920 is a wasteful number, since it uses less digits than its factorization.

71224920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71224920 is about 8439.4857663249. The cubic root of 71224920 is about 414.5185688305.

The spelling of 71224920 in words is "seventy-one million, two hundred twenty-four thousand, nine hundred twenty".