71967087360 has 1440 divisors, whose sum is σ = 329079421440. Its totient is φ = 14619377664.

The previous prime is 71967087323. The next prime is 71967087371. The reversal of 71967087360 is 6378076917.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 71967087297 and 71967087306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 234420327 + ... + 234420633.

It is an arithmetic number, because the mean of its divisors is an integer number (228527376).

Almost surely, 2^71967087360 is an apocalyptic number.

71967087360 is a gapful number since it is divisible by the number (70) 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 71967087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164539710720).

71967087360 is an abundant number, since it is smaller than the sum of its proper divisors (257112334080).

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

71967087360 is a wasteful number, since it uses less digits than its factorization.

71967087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 71967087360 in words is "seventy-one billion, nine hundred sixty-seven million, eighty-seven thousand, three hundred sixty".