71285590272 has 144 divisors (see below), whose sum is σ = 216336960000. Its totient is φ = 20643741696.

The previous prime is 71285590217. The next prime is 71285590279. The reversal of 71285590272 is 27209558217.

It is a super-2 number, since 2×71285590272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71285590279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40272 + ... + 379727.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340000).

Almost surely, 2^71285590272 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 71285590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480000).

71285590272 is an abundant number, since it is smaller than the sum of its proper divisors (145051369728).

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

71285590272 is a wasteful number, since it uses less digits than its factorization.

71285590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420048 (or 420034 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 71285590272 in words is "seventy-one billion, two hundred eighty-five million, five hundred ninety thousand, two hundred seventy-two".