71522880 has 224 divisors, whose sum is σ = 267297408. Its totient is φ = 15974400.

The previous prime is 71522849. The next prime is 71522909. The reversal of 71522880 is 8822517.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137020 + ... + 137540.

It is an arithmetic number, because the mean of its divisors is an integer number (1193292).

Almost surely, 2^71522880 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 71522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133648704).

71522880 is an abundant number, since it is smaller than the sum of its proper divisors (195774528).

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

71522880 is a wasteful number, since it uses less digits than its factorization.

71522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 71522880 is about 8457.1200771894. The cubic root of 71522880 is about 415.0957924706.

The spelling of 71522880 in words is "seventy-one million, five hundred twenty-two thousand, eight hundred eighty".