71967000 has 256 divisors, whose sum is σ = 269568000. Its totient is φ = 15628800.

The previous prime is 71966929. The next prime is 71967017. The reversal of 71967000 is 76917.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482926 + ... + 483074.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^71967000 is an apocalyptic number.

71967000 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 71967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

71967000 is an abundant number, since it is smaller than the sum of its proper divisors (197601000).

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

71967000 is a wasteful number, since it uses less digits than its factorization.

71967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 71967000 is about 8483.3366077269. The cubic root of 71967000 is about 415.9531967808.

It can be divided in two parts, 7196 and 7000, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 71967000 in words is "seventy-one million, nine hundred sixty-seven thousand".