71289178272 has 336 divisors, whose sum is σ = 233957541888. Its totient is φ = 21224747520.

The previous prime is 71289178271. The next prime is 71289178277. The reversal of 71289178272 is 27287198217.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71289178271) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9397393 + ... + 9404975.

It is an arithmetic number, because the mean of its divisors is an integer number (696302208).

Almost surely, 2^71289178272 is an apocalyptic number.

71289178272 is a gapful number since it is divisible by the number (72) 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 71289178272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116978770944).

71289178272 is an abundant number, since it is smaller than the sum of its proper divisors (162668363616).

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

71289178272 is a wasteful number, since it uses less digits than its factorization.

71289178272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7632 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The spelling of 71289178272 in words is "seventy-one billion, two hundred eighty-nine million, one hundred seventy-eight thousand, two hundred seventy-two".