71512000 has 112 divisors (see below), whose sum is σ = 202557888. Its totient is φ = 24499200.

The previous prime is 71511977. The next prime is 71512003. The reversal of 71512000 is 21517.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×71512000² = 10227932288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71512003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55362 + ... + 56638.

Almost surely, 2^71512000 is an apocalyptic number.

71512000 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 71512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101278944).

71512000 is an abundant number, since it is smaller than the sum of its proper divisors (131045888).

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

71512000 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (71511999) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1291).

71512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 71512000 is about 8456.4768077492. The cubic root of 71512000 is about 415.0747433963.

Adding to 71512000 its reverse (21517), we get a palindrome (71533517).

The spelling of 71512000 in words is "seventy-one million, five hundred twelve thousand".