71712000 has 288 divisors, whose sum is σ = 267845760. Its totient is φ = 18892800.

The previous prime is 71711951. The next prime is 71712049. The reversal of 71712000 is 21717.

It is an interprime number because it is at equal distance from previous prime (71711951) and next prime (71712049).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×71712000² = 10285221888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 863959 + ... + 864041.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^71712000 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 71712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

71712000 is an abundant number, since it is smaller than the sum of its proper divisors (196133760).

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

71712000 is an equidigital number, since it uses as much as digits as its factorization.

71712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 71712000 is about 8468.2938069011. The cubic root of 71712000 is about 415.4613343576.

Adding to 71712000 its reverse (21717), we get a palindrome (71733717).

The spelling of 71712000 in words is "seventy-one million, seven hundred twelve thousand".