71240880 has 160 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 16920576.

The previous prime is 71240879. The next prime is 71240887. The reversal of 71240880 is 8804217.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71240887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77061 + ... + 77979.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 2^71240880 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 71240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

71240880 is an abundant number, since it is smaller than the sum of its proper divisors (175171920).

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

71240880 is a wasteful number, since it uses less digits than its factorization.

71240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 71240880 is about 8440.4312686023. The cubic root of 71240880 is about 414.5495281365.

The spelling of 71240880 in words is "seventy-one million, two hundred forty thousand, eight hundred eighty".