71572000500 has 576 divisors, whose sum is σ = 303172047360. Its totient is φ = 13727232000.

The previous prime is 71572000481. The next prime is 71572000501. The reversal of 71572000500 is 500027517.

71572000500 is a `hidden beast` number, since 7 + 157 + 2 + 0 + 0 + 0 + 500 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71572000501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4496556 + ... + 4512444.

It is an arithmetic number, because the mean of its divisors is an integer number (526340360).

Almost surely, 2^71572000500 is an apocalyptic number.

71572000500 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 71572000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151586023680).

71572000500 is an abundant number, since it is smaller than the sum of its proper divisors (231600046860).

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

71572000500 is a wasteful number, since it uses less digits than its factorization.

71572000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The spelling of 71572000500 in words is "seventy-one billion, five hundred seventy-two million, five hundred", and thus it is an aban number.