71550920 has 64 divisors (see below), whose sum is σ = 187937280. Its totient is φ = 24005376.

The previous prime is 71550887. The next prime is 71550931. The reversal of 71550920 is 2905517.

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, 10442 + ... + 15878.

It is an arithmetic number, because the mean of its divisors is an integer number (2936520).

Almost surely, 2^71550920 is an apocalyptic number.

71550920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71550920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93968640).

71550920 is an abundant number, since it is smaller than the sum of its proper divisors (116386360).

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

71550920 is a wasteful number, since it uses less digits than its factorization.

71550920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 71550920 is about 8458.7776894774. Note that the first 3 decimals coincide. The cubic root of 71550920 is about 415.1500304306.

The spelling of 71550920 in words is "seventy-one million, five hundred fifty thousand, nine hundred twenty".