71268399072 has 192 divisors, whose sum is σ = 225155972160. Its totient is φ = 21801388032.

The previous prime is 71268399067. The next prime is 71268399109. The reversal of 71268399072 is 27099386217.

It is a super-2 number, since 2×71268399072² (a number of 23 digits) contains 22 as substring.

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

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, 1924798 + ... + 1961474.

It is an arithmetic number, because the mean of its divisors is an integer number (1172687355).

Almost surely, 2^71268399072 is an apocalyptic number.

71268399072 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 71268399072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112577986080).

71268399072 is an abundant number, since it is smaller than the sum of its proper divisors (153887573088).

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

71268399072 is a wasteful number, since it uses less digits than its factorization.

71268399072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36882 (or 36868 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71268399072 in words is "seventy-one billion, two hundred sixty-eight million, three hundred ninety-nine thousand, seventy-two".