71232000 has 320 divisors, whose sum is σ = 275768064. Its totient is φ = 15974400.

The previous prime is 71231987. The next prime is 71232041. The reversal of 71232000 is 23217.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343974 + ... + 1344026.

Almost surely, 2^71232000 is an apocalyptic number.

71232000 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 71232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

71232000 is an abundant number, since it is smaller than the sum of its proper divisors (204536064).

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

71232000 is an equidigital number, since it uses as much as digits as its factorization.

71232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 71232000 is about 8439.9052127379. The cubic root of 71232000 is about 414.5323032287.

Adding to 71232000 its reverse (23217), we get a palindrome (71255217).

The spelling of 71232000 in words is "seventy-one million, two hundred thirty-two thousand".